All Problems

Electric Current

Problem 3.181

Find the magnitude and direction of the current flowing through the resistance \(R\) in the circuit shown in Fig. 3.44 if the emf's of the sources are equal to \(\mathscr{E}_ {1}=1.5 \mathrm{~V}\) and \(\mathscr{E}_ {2}=3.7 \mathrm{~V}\) and the resistances are equal to \(R_{1}=10 \Omega, R_{2}=20 \Omega, R=5.0 \Omega\). The internal resistances of the sources are negligible.

Reveal Answer
I=(R1E2−R2E1)/(RR1+R1R2+R2R)=0.02 A, the current is directed from the left to the right (see Fig. 3.44).I=\left(R_{1} \mathscr{E}_{2}-R_{2} \mathscr{E}_{1}\right) /\left(R R_{1}+R_{1} R_{2}+R_{2} R\right)=0.02 \mathrm{~A}, \text { the current is directed from the left to the right (see Fig. 3.44).}
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