1. Tardigrade
  2. Question
  3. Physics
  4. Two batteries one of the emf 3 V, internal resistance 1 Ω and the other of emf 15 V, internal resistance 2 Ω are connected in series with a resistance R as shown. If the potential difference between points a and b is zero, the resistance R is :

Question Error Report

Thank you for reporting, we will resolve it shortly

Back to Question

Q. Two batteries one of the emf $3 \, V$, internal resistance $1 \,\Omega$ and the other of emf $15 \,V$, internal resistance $2 \,\Omega$ are connected in series with a resistance $R$ as shown. If the potential difference between points $a$ and $b$ is zero, the resistance $R$ is :Physics Question Image

Current Electricity

Solution:

We use for $3 V$ battery
$E-i r=0$
$\Rightarrow 3-\left(\frac{3+15}{1+2+R}\right)(1) =0$
Solving this equation we get,
$R=3 \,\Omega$