Solved: Resistors connected in parallel If two resistors

QUESTION:

Resistors connected in parallel If two resistors of \(R_{1}\) and \(R_{2}\) ohms are connected in parallel in an electric circuit to make an \(R\) - ohm resistor, the value of \(R\) can be found from the equation

\(\frac{1}{R}=\frac{1}{R_{1}}+\frac{1}{R_{2}}\).

If \(R_{1}\) is decreasing at the rate of 1 ohm sec and \(R_{2}\) is increasing at the rate of 0.5 ohm sec, at what rate is \(R\) changing when \(R_{1}=75\) ohms and \(R_{2}=50\)ohms?

Equation Transcription:

Text Transcription:

R_1

R_2

R

R

frac{1}{R} = frac{1}{R_1} + frac{1}{R_2}

R_1

R_2

R

R_1 = 75

R_2 = 50