Chapter 1
Q. 1.P.4
When a resistor R is connected to a current source it consumes a power of 18 W. When the same resistor R is connected to a voltage source whose magnitude is same as the current source, the power absorbed is 4.5 W. The values of current source and R are ____.
Step-by-Step
Verified Solution
Consider the circuits shown in Fig. (a) for R connected to current source and Fig. (b) for R con-necte to voltage source.
Given that i_{ S }=V_{ S }
Also,
\begin{aligned} i_{ S }^2 R & =18 W \\ \frac{V^2}{R} & =4.5 W \\ R^2 & =\frac{18}{4.5}=\frac{180}{45}=4 \Omega \\ R & =2 \Omega \\ i_{ S }^2 & =\frac{18}{2}=9 \Rightarrow i_{ S }=3 A \end{aligned}
