All Problems

Electric Current

Problem 3.186

A constant voltage \(V=25 \mathrm{~V}\) is maintained between points \(A\) and \(B\) of the circuit (Fig. 3.49\() .\) Find the magnitude and direction of the current flowing through the segment \(C D\) if the resistances are equal to \(R_{1}=1.0 \Omega, R_{2}=2.0 \Omega, R_{3}=3.0 \Omega,\) and \(R_{4}=\) \(=4.0 \Omega\)

Reveal Answer
I=VR2(R1+R2R1[1+R2R4(R1+R3)/R1R3(R2+R4)]−1)=1.0 AI=\frac{V}{R_{2}}\left(\frac{R_{1}+R_{2}}{R_{1}\left[1+R_{2} R_{4}\left(R_{1}+R_{3}\right) / R_{1} R_{3}\left(R_{2}+R_{4}\right)\right]}-1\right)=1.0 \mathrm{~A}
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