All Problems

Electric Current

Problem 3.196

A circuit shown in Fig. 3.53 has resistances R1=20ΩR_{1}=20 \Omega and R2=30ΩR_{2}=30 \Omega. At what value of the resistance RxR_{x} will the thermal power generated in it be practically independent of small variations of that resistance? The voltage between the points AA and BB is supposed to be constant in this case.

Reveal Answer
Rx=R1R2/(R1+R2)=12ΩR_{x}=R_{1} R_{2} /\left(R_{1}+R_{2}\right)=12 \Omega