All Problems

Electric Current

Problem 3.186

A constant voltage V=25 VV=25 \mathrm{~V} is maintained between points AA and BB of the circuit (Fig. 3.49).) . Find the magnitude and direction of the current flowing through the segment CDC D if the resistances are equal to R1=1.0Ω,R2=2.0Ω,R3=3.0Ω,R_{1}=1.0 \Omega, R_{2}=2.0 \Omega, R_{3}=3.0 \Omega, and R4=R_{4}= =4.0Ω=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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