In the given circuit,the galvanometer reading | vedclass

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

Question

(B) The galvanometer reading is zero,which means no current flows through the branch containing the galvanometer and the $2 	ext{ V}$ cell.Therefore,

Vedclass · Accepted Answer

$100$

Vedclass · Answer

(B) The galvanometer reading is zero,which means no current flows through the branch containing the galvanometer and the $2 	ext{ V}$ cell.Therefore,the potential difference across the resistor $x$ must be equal to the electromotive force $(EMF)$ of the cell in that branch,which is $2 	ext{ V}$.Let $I$ be the current flowing through the $500 	ext{ } \Omega$ resistor and the resistor $x$.Since the galvanometer branch has zero current,the entire current $I$ flows through the resistor $x$.The potential difference across $x$ is $V_x = I \cdot x = 2 	ext{ V}$.Applying Kirchhoff's Voltage Law $(KVL)$ to the outer loop containing the $12 	ext{ V}$ source,the $500 	ext{ } \Omega$ resistor,and the resistor $x$:$12 - I(500) - I(x) = 0$$12 - 500I - 2 = 0$$10 = 500I$$I = \frac{10}{500} = \frac{1}{50} 	ext{ A}$.Now,substitute the value of $I$ into the equation $I \cdot x = 2$:$\frac{1}{50} \cdot x = 2$$x = 2 \cdot 50 = 100 	ext{ } \Omega$.

In the given circuit,the galvanometer reading is zero. If the internal resistance of the cells is negligible,then the value of $x$ is ............. $\Omega$.

Similar Questions

The potential difference $V$ across the filament of the bulb shown in the given Wheatstone bridge varies as $V = i(2i + 1)$,where $i$ is the current in ampere through the filament of the bulb. The emf of the battery $(V_b)$ so that the bridge becomes balanced is (in $V$)

The figure shows a network of five resistances and two batteries. The current through the $30\,V$ battery is ............... $A$.

Five equal resistances are connected in a network as shown in the figure. The net resistance between the points $A$ and $B$ is

The given figure shows a network of resistances and two batteries. Which of the two batteries is getting charged?

When the switch $S$, in the circuit shown, is closed, then the value of current $i$ will be ................. $A$.

Vedclass Test Series

Exam Paper Generator

Online Exam Module