Physics

The diagram shows a type of particle accelerator called a cyclotron.

Cyclotrons accelerate charged particles, following the path as shown.

An electric field acts on a charged particle as it moves through the gap between the dees. A strong magnetic field is also in place.

Once a charged particle has the required velocity, it exits the accelerator towards a target.

Which of the following is true about a charged particle in a cyclotron?
A. It increases speed while inside the dees.
B. It only accelerates while between the dees.
C. It undergoes acceleration inside and between the dees.
D. It slows down inside the dees and speeds up between the dees.

In a vacuum chamber there is a uniform electric field and a uniform magnetic field.

A proton having a velocity, $v$, enters the chamber. Its velocity remains unchanged as it travels through the chamber.

A second proton having a velocity, $2v$, in the same direction as the first proton, then enters the chamber at the same point as the first proton.

In the chamber, the acceleration of the second proton
A. is zero.
B. is constant in magnitude and direction.
C. changes in both magnitude and direction.
D. is constant in magnitude, but not direction.

Two parallel plates separated by a distance $d$ have a potential difference $V$ across them. A particle with charge $Q$ is placed midway between the plates.

What is the magnitude of the electrostatic force acting on the particle?
(A) zero
(B) $\dfrac{QV}{2d}$
(C) $\dfrac{QV}{d}$
(D) $\dfrac{2QV}{d}$

An isolated spherical conductor is charged. The conductor has a radius $R$ and an electric potential $V$. The electric field strength at its surface is $E$.

Point $T$ is a distance $2R$ from the surface.

What are the electric field strength and electric potential at $T$?