The potential (in volts) of a charge distribution is given by for m for m

PHYSICS · Single correct · AP · Physics C: Electricity and Magnetism · Electric Charges Fields and Gauss's Law · Electric Charges Fields and Gauss's Law

Problem

The potential (in volts) of a charge distribution is given by V(z)=30−5z2V(z) = 30 - 5z^2 for ∣z∣≤1|z| \le 1 m V(z)=35−10∣z∣V(z) = 35 - 10|z| for ∣z∣≥1|z| \ge 1 m. V(z)V(z) does not depend on xx and yy . If this potential is generated by a constant charge per unit volume ρ0\rho_0 (in units of ϵ0\epsilon_0 ) which is spread over a certain region, then choose the correct statement. [Main Online April 9, 2016] (1) ρ0=20ϵ0\rho_0 = 20 \epsilon_0 in the entire region (2) ρ0=10ϵ0\rho_0 = 10 \epsilon_0 for ∣z∣≤1|z| \le 1 m and ρ0=0\rho_0 = 0 elsewhere (3) ρ0=20ϵ0\rho_0 = 20 \epsilon_0 for ∣z∣≤1|z| \le 1 m and ρ0=0\rho_0 = 0 elsewhere (4) ρ0=40ϵ0\rho_0 = 40 \epsilon_0 in the entire region

Related theory

Browse the problem library