As well as hearing from people around the country, BBC News has also been hearing from two young voters or voters-to-be who gave their views as representatives of their political parties.

Reem Ibrahim, a member of the Conservative Party, says she is really happy Liz Truss is PM.

"I think that she is a principled market liberal, and that's really what I want to see in the party," Reem says.

"The Conservative Party haven't been conservative for a really long time, with the highest tax burden in 70 years," she says. "I think she'll work really hard to show us that markets work."

Ralph Ali, Labour's Under-18s representative, is less impressed with Truss.

He says he thinks she represents a continuity of Boris Johnson's government, with "inaction" over the cost of living crisis.

"Millions of families will be wondering how they're going to pay their energy bills this winter," he says, adding that Truss "doesn't really have that in-depth plan".

The BBC has been in Devon today, hearing from residents in the town of Honiton to find out what they think of the new PM, Liz Truss.

The constituency of Tiverton and Honiton recently voted for a Liberal Democrat MP for the first time ever after former Conservative MP Neil Parish resigned after watching pornography in Parliament.

So what do people in the town think of the new appointment?

"I guess I'm glad that Liz Truss has been voted as the new Conservative leader, and I think that she should try and sort out the energy prices and the cost of living crisis," said one man.

"I think they're all as bad as each other," said one woman. "I don't really trust any of them to be honest."

"We've just got to put all our trust in Truss," another man said.

Image source, POOL

Cabinet minister Therese Coffey, tipped to take on the role of health secretary under Liz Truss, has arrived in Downing Street ahead of the arrival of her new boss.

She may also, some reports suggest, take over the role of deputy prime minister from Dominic Raab.

Stick with us through the afternoon and we'll bring you all the details of appointments to the new government, just as soon as we hear them.

• Who's out and who could be in Truss's first Cabinet

Sir Anthony Seldon, a historian who has written biographies of several prime ministers, says Liz Truss will be constrained as prime minister by the serious challenges ahead.

"Her in-tray is just extraordinarily grim economically, financially - with trade unions, socially - with unrest, and with waiting lists in the NHS," he tells the BBC.

"Politically, she's got a divided party - she won on quite a slender majority. Internationally, there's a war in Ukraine.

"She has to repair relations with the EU, she has to show the world that Brexit was for something. And she has to somehow forge her relationship with United States, arguably the relationship with the president is at its weakest now...possibly since the end of the Second World War."

Seldon goes on to say that Truss has "a lot to do" but "she's heavily constrained financially and with the markets".

And on what type of PM Truss will be, he adds: "I think she'd like to be like Thatcher without saying that she was like Thatcher.

"She'd like to have fireworks going off in all directions. She'd like to make history. She likes big statements. But it will be much more of a constrained premiership by the economic and political and social and international realities that she is going to be governing under."

Phil Mackie
Midlands correspondent, BBC News

The constituency of Worcester in England's West Midlands has been held by the Conservatives since 2010 but if Labour wants to win the next election, this is a seat it would want to win.

When Labour last won power from the Conservatives, experts argued it was women voters who switched sides and gave them victory. Those swing voters were dubbed “Worcester women” because the city was so typical of the type of seat that Labour needed to win.

At a Gym Tots class at Flics Gymnastics Club in the city this morning, mother-of-two Beth Pickess told me she wanted to see more done for families and the environment by Liz Truss.

The owners of Benedicto's Italian restaurant in the city centre had nothing but praise for the prime minster's predecessor Boris Johnson, but said Truss had a long list of problems to address.

Tano Cinao said his energy bills were set to double from £2,000 a month to £4,000 and cuts to VAT, corporation tax and an energy price cap (which currently does not cover businesses) would help him.

Image source, POOL

Meanwhile former Prime Minister Boris Johnson and his wife Carrie safely touched down at RAF Northolt a little while ago following their trip to see the Queen at Balmoral.

It would have been hard to miss them, given the vibrant pink dress Carrie Johnson is wearing today.

We're not sure where the Johnsons are headed next, but it's been reported, external by London's Evening Standard they have bought a new house in Herne Hill, south-east London.

The area includes Brockwell Park, a potential playtime spot for the Johnsons' children - Wilf, two, and eight-month-old Romy - as well as their dog Dilyn.

Image source, Pool

The plane taking Prime Minister Liz Truss back to London has set off from Aberdeen airport.

She is expected to make her first speech to the nation later this afternoon from outside Downing Street, although predicted rain may yet put a dampener on those plans.

Ever wondered what it's like to be a fly on the wall outside one of the country's most important addresses?

We've set up a special camera in Downing Street so you can see the arrival of the UK's new Prime Minister Liz Truss and her team as they move into No 10. Click on the video at the top of the page ("Watch Downing Street live") to view all the action.

The world's media have gathered outside the famous black door to witness her first speech as PM - and later we're expecting to discover who she appoints to her new cabinet.

Watch closely throughout the afternoon so you can see all the comings and goings - and maybe even spot Larry the cat!

Simon Jack
BBC Business Editor

The latest update on the government's anticipated intervention in the energy market would see over a £100 billion added to government borrowing.

The government is reluctant to see money added to customer bills for up to 20 years to repay government backed loans to the energy companies and it's also reluctant to add the cost to general taxation given their pledges to be a tax cutting government.

So the third option is to just borrow the money and add to the UK's overall outstanding debt.

Kwasi Kwarteng - the chancellor-to-be - has already indicated that the government is prepared to do this and it would be consistent with the Truss position that the UK needs to break free of the Treasury's stingy orthodox thinking on spending.

However, at an estimated cost in excess of £100 billion, it's quite a chunk of change to borrow at the same time as you are cutting taxes and boosting spending on defence.

Team Truss say that over time, new energy supply measures - such as cutting the link between renewable sources and the gas price - will lower costs while a growing economy will shrink the proportion of overall debt to the size of the economy.

Kwasi Kwarteng said the government would borrow in a fiscally prudent way. Putting such a large intervention on the never-never may raise some eyebrows.

• Read Simon's full article here

Image source, Getty Images

As Liz Truss enters her first few hours at the helm, the focus is on her plan, expected on Thursday, to address the energy crisis.

The current Chief Secretary to the Treasury Simon Clarke - who is tipped to to become levelling up secretary - says Truss's plan to tackle soaring prices will provide certainly to families and businesses as the weather gets colder.

While he wouldn't be drawn on specifics, he says it will be a "major moment" in "drawing a line under the sense of uncertainty" which people are feeling at the moment.

"It will come very shortly and there is a clear commitment to rise to the level of events and to provide early certainty to families and businesses that there will be help available to meet the undoubted challenges that this autumn and winter are going to bring," he told the BBC.

"It will be a major intervention and it will be something which is fair, fundamentally fair in terms of how it's structured to look after, as I say, both the current situation, but also the long-term interest to bill-payers."

Ione Wells
Political Correspondent, BBC News

Image source, PA Media

Behind the scenes, the jigsaw of who will serve in Truss’s closest team of cabinet ministers is coming together - but there are still some holes.

Firstly, a caveat - none of this has been officially announced yet.

But we expect her close ally and friend Kwasi Kwarteng to be appointed the new chancellor, in charge of the economy, James Cleverley to be the new foreign secretary, and Suella Braverman to become the new home secretary.

We know too some people who won’t be taking up a role. The culture secretary Nadine Dorries has decided not to stay on. Iain Duncan Smith has also said he was offered a role but turned it down.

It’s widely expected that Jacob Rees-Mogg will take up the business secretary role, and possibly even incorporate into this the energy and climate brief usually taken up by a more junior minister.

This speculation, which is just speculation at this stage, has already raised some eyebrows among green groups, with the Green Alliance calling it “completely unsustainable”, external to take on two posts when it’s such a big brief.

Rees-Mogg, who has previously been vocally pro-fracking, has expressed concerns about “climate alarmism” and has championed lower business taxes - and opposed windfall taxes on energy firms.

He’s also repeatedly argued for less regulation on business post-Brexit.

Another of Truss’s close friends and allies Therese Coffey is expected to be offered the health secretary role.

Image source, Reuters

There will be lots of coming and goings in Downing Street today, but there is one member of the Number 10 entourage who will be firmly staying put.

Larry the Cat, aka Chief Mouser to the Cabinet Office, is nobody's mog.

The 15-year-old tabby, who has already seen off three prime ministers (and Dilyn the dog), will be testing his claws out on the Truss family furnishings in the coming weeks.

There is no word on whether the new PM, husband Hugh and their teenage daughters - Frances and Liberty - have any pets of their own, and it remains to be seen whether Liz Truss is a cat person, but - as a temporary resident - she would be advised to pay him due regard.

Bear in mind that this former resident of Battersea Dogs and Cats Home reportedly stopped the Leader of the Free World (then Donald Trump) in his tracks when he camped out under the former US president's armoured Cadillac during his 2019 visit to Downing St.

Let the fur fly.

Image source, Reuters

Boris Johnson is unlikely to “come back and serve in frontline politics", according to the man who was his Director of Communications when he was Mayor of London.

Will Walden told BBC Radio 4’s World at One that the former PM is playing “clever politics” by “leaving the door ajar”. But he thinks the Tory party isn’t used to going back in time unless there is a “pretty strange set of circumstances for them to do that”. He also reckons Johnson “needs to earn some money and he needs to move on”.

Walden - a former BBC journalist - also gave his take on Johnson’s final speech as PM this morning, suggesting it “wasn’t particularly dignified, reflective or statesman-like”, adding the first part of his speech felt “pretty bitter when he said they’ve changed the rules halfway through”.

Walden describes it as “classic Boris” - “devoid of some of the actual facts” and says it “paid no recognition to the fact that the reason he’s in this mess and walking away today can probably almost be laid almost exclusively at his behaviour and the way he has responded to crises in the last 12 months”.

• Boris Johnson's leaving speech fact-checked

Image source, PA Media

If you're just joining us, here's a round-up of the main developments so far today as a new UK prime minister is appointed:

• Liz Truss has become Britain's third female prime minister after meeting Queen Elizabeth II at Balmoral Castle
• The Queen asked Truss, the 15th premier of her reign, to form a new government after earlier accepting Boris Johnson's resignation
• Johnson bid farewell to No 10 this morning after 1,139 days in office. In an early morning speech from the podium in Downing St he outlined his legacy and called on the Tory Party to unite behind his successor
• He suggested he would slip into political obscurity, although a reference to Roman statesman Cincinnatus fuelled speculation he could consider a future comeback
• Truss will address the nation later this afternoon from Downing Street with the make-up of her cabinet set to emerge shortly after
• Details of her plans to address the energy crisis, the most pressing issue for the new government, are set to become clear as soon as Thursday

Stay with us as we bring you the latest updates, and look in more detail at the challenges facing Truss as she takes over.

Robert Lacey, royal historian and biographer, tells BBC News many will consider that it was appropriate that the new prime minister travelled to Balmoral to be appointed.

"Many people would feel that's how it should be - not just out of respect for the Queen, but just to remind us, this is a political person going up to be given a greater job, as head of the British government."

"Nothing ever gets leaked" by the palace regarding the audience held between the Queen and her prime ministers, he adds, however "indiscreet" politicians may "drop hints about what's been said".

"The ceremony we are seeing today is an important reminder that Britain has two heads of public life at any time: the elected head - the prime minister... and the monarchy," says Lacey

"This is a rare glimpse of some of the practicalities of how that operates."

Sean Coughlan
BBC News, royal correspondent

Image source, PA Media

There have been worries about the Queen’s health, but the official photos show her on her feet and smiling as she shakes hands with the new Prime Minister Liz Truss.

She’s wearing tartan in keeping with the Scottish setting and a rather autumnal cardigan, in keeping with the lit fire. In a change of venue prompted by concerns about the mobility of the 96-year-old monarch, the meeting took place in Balmoral Castle.

The historic moment was recorded in still photographs, rather than video, which might limit the clues about her well-being, as the new prime minister moves to where the Queen is standing.

The Queen did not appear at the Braemar Highland Games last week, usually one of her favourite events, and there had been some trepidation about her health.

But with a walking stick in hand, the Queen was clearly determined to carry out her constitutional role in the appointment of the 15th prime minister of her reign.

As we've been reporting, the Queen has met Liz Truss, who is now the UK's prime minister.

Buckingham Palace said in a statement that the Queen had an audience with Ms Truss and "requested her to form a new administration".

"Ms Truss accepted Her Majesty's offer and kissed hands upon her appointment as Prime Minister and First Lord of the Treasury", the palace added.

The new prime minister has now left Balmoral Castle and started her return journey to London.

The plane carrying former prime minister Boris Johnson has taken off from Aberdeen airport on the return journey to RAF Northolt.

His successor Liz Truss is making her way back to Aberdeen as we speak, to complete her own second leg of the 1,100 mile round trip.

Image source, .

Ione Wells
Political Correspondent, BBC News

So, it’s official - Liz Truss has been appointed as the new prime minister.

She’s even made it ‘"Twitter-official" too by updating her social media bio, external.

This means she can now get cracking with all the things that come with the job, some of which she’s already made a significant start to.

Before getting down to the policies that matter to everyone’s lives, she needs to appoint her team of cabinet ministers before their first meeting tomorrow morning.

That’ll happen throughout this afternoon.

One of the first things she’ll be hoping to sign off with them are her plans to help people with rising energy bills, which is top of her in-tray.

Until now, she was foreign secretary, where a significant part of her job was leading on plans to override part of the Northern Ireland Protocol - part of the Brexit deal agreed with the EU - and responding to the Ukraine war.

I’m told these are two things she still wants to play a significant role in leading on, with some of her allies speculating she may bring negotiations over the protocol back into the fold of No 10.

New Prime Minister Liz Truss has finished meeting the Queen and has left Balmoral Castle to return to London.

Image source, Reuters