In the circuit shown below,the ammeter readin | vedclass

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

(B) Let $i_1$ be the current flowing through the $500 \Omega$ resistor and the $12 	ext{ V}$ battery.Since the ammeter reading is zero,no current flo

Vedclass · Accepted Answer

$100$

Vedclass · Answer

(B) Let $i_1$ be the current flowing through the $500 \Omega$ resistor and the $12 	ext{ V}$ battery.Since the ammeter reading is zero,no current flows through the right branch containing the $2 	ext{ V}$ battery and the ammeter.Therefore,the current $i_1$ flows through the $500 \Omega$ resistor and the resistor $R$ in series.Applying Kirchhoff's voltage law $(KVL)$ to the left loop:$12 - 500 i_1 - R i_1 = 0$$12 = i_1 (500 + R) \quad \dots (i)$Now,consider the potential difference across the resistor $R$. Since no current flows through the right branch,the potential difference across $R$ must be equal to the electromotive force $(EMF)$ of the battery in the right branch to maintain zero current in that loop.The potential difference across $R$ is $V_R = i_1 R$.For the ammeter to read zero,the potential difference across $R$ must balance the $2 	ext{ V}$ battery.Thus,$i_1 R = 2 	ext{ V} \Rightarrow i_1 = \frac{2}{R}$.Substituting $i_1$ into equation $(i)$:$12 = \frac{2}{R} (500 + R)$$6 R = 500 + R$$5 R = 500$$R = 100 \Omega$

In the circuit shown below,the ammeter reading is zero. Then the value of the resistance $R$ is (in $\Omega$)

Similar Questions

In the circuit shown,what is the potential difference $V_{PQ}$?

The value of current through the $20\,\Omega$ resistor is ............ $A$.

$A$ part of a circuit is shown in the figure. The ratio of the potential differences between the points $A$ and $C$,and the points $D$ and $E$ is

In the circuit shown,$P \ne R$. The reading of the galvanometer is the same with switch $S$ open or closed. Then:

Calculate the potential difference between $A$ and $B$ in the given circuit in $volt$.

Vedclass Test Series

Exam Paper Generator

Online Exam Module