If a current of 7 A flows through the electr | vedclass

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

Question

(B) The circuit is a Wheatstone bridge. The condition for a balanced Wheatstone bridge is $\frac{P}{Q} = \frac{R}{S}$.Here,$\frac{4}{2} = 2$ and $\fra

Vedclass · Accepted Answer

$10$

Vedclass · Answer

(B) The circuit is a Wheatstone bridge. The condition for a balanced Wheatstone bridge is $\frac{P}{Q} = \frac{R}{S}$.Here,$\frac{4}{2} = 2$ and $\frac{10}{5} = 2$. Since the ratios are equal,the bridge is balanced.In a balanced Wheatstone bridge,no current flows through the central branch $BD$.Let the current through the upper branch $ABC$ be $I_1$ and the current through the lower branch $ADC$ be $I_2$.Since the total current is $7 \ A$,we have $I_1 + I_2 = 7 \ A$.The potential difference across the upper branch $AC$ is $V_{AC} = I_1(4 + 2) = 6I_1$.The potential difference across the lower branch $AC$ is $V_{AC} = I_2(10 + 5) = 15I_2$.Equating the two,$6I_1 = 15I_2$,which gives $I_1 = 2.5I_2$.Substituting $I_1 = 2.5I_2$ into $I_1 + I_2 = 7$,we get $2.5I_2 + I_2 = 7$,so $3.5I_2 = 7$,which means $I_2 = 2 \ A$.Then $I_1 = 7 - 2 = 5 \ A$.The potential difference between $B$ and $C$ is $V_{BC} = I_1 	imes R_{BC} = 5 \ A 	imes 2 \ \Omega = 10 \ V$.

If a current of $7 \ A$ flows through the electric circuit,what is the potential difference between $B$ and $C$ in volts?

Similar Questions

Which of the following is a wrong statement?

The current drawn from the battery in the given network is (Internal resistance of the battery is negligible). (in $A$)

In the circuit given here,the potentials at points $A$,$B$,and $C$ are $70 \,V$,$0 \,V$,and $10 \,V$ respectively. Then:

Find the current in the $10\,\Omega$ resistance. The circuit consists of two $5\,V$ batteries with internal resistances of $2\,\Omega$ each,connected in parallel with a $10\,\Omega$ resistor.

Find the value of the current through the $2\,\Omega$ resistance for the given circuit. (in $,A$)

Vedclass Test Series

Exam Paper Generator

Online Exam Module