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Refer to picture: A particle (charge = 50 MuC) moves in a region where the only

ID: 1276670 • Letter: R

Question

Refer to picture:

A particle (charge = 50 MuC) moves in a region where the only force on it is an electric force. As the particle moves 25 cm from point A to point B, its kinetic energy increases by 1.5 mJ. Determine the electric potential difference, VB - VA. a) -50 V b) -40 V c) -30 V d) -60 V e) +15 V Ans. ________ 2. The electric field in a region of space is given by Ex = (3.0x), Ey = Ez = 0, where x is in m, and E is in V/m. Points A and B are on the x-axis at xA = 3.0 m and xB = 5.0 m. Determine the potential difference VB - VA. a) -24 V b) +24 V c) -18 V d) +30 V e) -36 V

Explanation / Answer

a)

Energy = VQ

Vb - Va = Energy / Q

= 0.0015 / 0.00005

= -30V

b)

Vb - Va = Edx from a to b

= 3xdx

= (3/2)x^2

= (3/2)(5^2 - 3^2)

= 24 V