Question

A proton at speed v = 3.00 × 105 m/s orbits at radius r = 1.00 cm outside a charged sphere. Find the sphere’s charge.

Answer 1

To calculate the charge of the sphere, you need to use the equation for the centripetal force acting on the proton and rearrange it to solve for the charge. The charge of the sphere depends on the value of the magnetic field in the given scenario.

Step-by-step explanation:

In order to calculate the charge of the sphere, we need to use the equation for the centripetal force acting on the proton:

F = qvB

Where q is the charge of the proton, v is its velocity, and B is the magnetic field. Rearranging the equation, we can solve for the charge:

q = F / (vB)

Substituting the given values, we get:

q = (mvr) / (vB) = (1.67 × 10^-27 kg) * (3.00 × 10^5 m/s) * (1.00 cm) / (3.00 × 10^5 m/s) * (B)

Simplifying, we find:

q = (1.67 × 10^-31 C) / B

Therefore, the charge of the sphere depends on the value of B, the magnetic field. To determine the charge, we need more information about the magnetic field in the given scenario.