Ohm’s law states that if the resistance of the path of current between two points is constant

Question

then the voltage difference V between the points and the current I flowing between the points, measured in amperes, satisfy the relationship V=cI, where c is a constant. Which of the following best describes the relationship between the rate of change with respect to time t of the voltage and the rate of change with respect to time t of the current?

A. dv/dt = I dc/dt

B. dv/dt = C di/dt

C. dv/di = C

D. I = C di/dv

Answer 1

V= c * I

To find how V is changing with respect to time, you take the derivative of both sides with respect to time:

dV/dt = d(c*I)/dt

c is constant, so you can take it out of the derivative:

dV/dt = c* dI/dt

B is your answer