All Problems

Electric Current

Problem 3.174

Find a potential difference φ1φ2\varphi_{1}-\varphi_{2} between points 1 and 2 of the circuit shown in Fig. 3.39 if R1=10Ω,R2=20Ω,E1=R_{1}=10 \Omega, R_{2}=20 \Omega, \mathscr{E}_ {1}= =5.0 V,=5.0 \mathrm{~V}, and E2=2.0 V.\mathscr{E}_ {2}=2.0 \mathrm{~V} . The internal resistances of the current sources are negligible.

Reveal Answer
φ1φ2=(E1E2)R1/(R1+R2)E1=4 V\varphi_{1}-\varphi_{2}=\left(\mathscr{E}_{1}-\mathscr{E}_{2}\right) R_{1} /\left(R_{1}+R_{2}\right)-\mathscr{E}_{1}=-4 \mathrm{~V}