In the circuit shown in the figure,which of t | vedclass

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

Question

(A) The total electromotive force $(EMF)$ in the circuit is $E = 10\,V + 20\,V = 30\,V$.The total resistance in the circuit is $R_{total} = 7.5\,\Omeg

Vedclass · Accepted Answer

Potential at $P$ is $-7.5\,V$

Vedclass · Answer

(A) The total electromotive force $(EMF)$ in the circuit is $E = 10\,V + 20\,V = 30\,V$.The total resistance in the circuit is $R_{total} = 7.5\,\Omega + 0.5\,\Omega + 1\,\Omega + 1\,\Omega = 10\,\Omega$.The current $i$ in the circuit is $i = \frac{E}{R_{total}} = \frac{30\,V}{10\,\Omega} = 3\,A$.Since point $S$ is grounded,the potential at $S$ is $V_S = 0\,V$.Moving from $S$ to $P$ through the $7.5\,\Omega$ resistor,the potential drop is $V_S - V_P = i 	imes 7.5\,\Omega = 3\,A 	imes 7.5\,\Omega = 22.5\,V$. Since the current flows from $P$ to $S$,$V_P - V_S = 22.5\,V$,so $V_P = 22.5\,V$.Moving from $R$ to $Q$ through the $1\,\Omega$ resistor,the potential drop is $V_Q - V_R = i 	imes 1\,\Omega = 3\,A 	imes 1\,\Omega = 3\,V$. Since $V_R = 0\,V$,we have $V_Q = 3\,V$.Comparing these results with the options,statement $A$ $(V_P = -7.5\,V)$ is incorrect,and statement $B$ $(V_Q = -3\,V)$ is also incorrect based on the current direction. However,looking at the options provided,$A$ is clearly incorrect as $V_P = 22.5\,V$.

In the circuit shown in the figure,which of the following statements is incorrect?

Similar Questions

Two infinite circuits (shown below) are called 'Circuit $A$' and 'Circuit $B$'. The equivalent resistance of 'Circuit $A$' is $x$ and that of 'Circuit $B$' is $y$ between terminals $1$ and $2$.

In the circuit shown below,the reading of the voltmeter $V$ is ........... (in $, V$)

Three resistors $1 \Omega, 2 \Omega$ and $3 \Omega$ are connected to form a triangle. Across the $3 \Omega$ resistor,a $3 \text{ V}$ battery is connected. The current through the $3 \Omega$ resistor is: (in $\text{ A}$)

Under what condition can the current passing through the resistance $R$ be increased by short-circuiting the battery of emf $E_2$? The internal resistances of the two batteries are $r_1$ and $r_2$ respectively.

$A$ circuit containing five resistors is connected to a battery with a $12 \,V$ emf as shown in the figure. The potential difference across the $4 \,\Omega$ resistor is ........... $V$.

Vedclass Test Series

Exam Paper Generator

Online Exam Module