In the circuit shown in the figure below, whi | vedclass

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

Question

(A) The circuit consists of two batteries of $10\, V$ and $20\, V$ in series, and total resistance $R_{eq} = 7.5\, \Omega + 0.5\, \Omega + 1\, \Omega

Vedclass · Accepted Answer

The potential at $P$ is $-7.5\, V$

Vedclass · Answer

(A) The circuit consists of two batteries of $10\, V$ and $20\, V$ in series, and total resistance $R_{eq} = 7.5\, \Omega + 0.5\, \Omega + 1\, \Omega + 1\, \Omega = 10\, \Omega$. The net electromotive force is $\varepsilon_{net} = 20\, V - 10\, V = 10\, V$. The current in the circuit is $I = \frac{\varepsilon_{net}}{R_{eq}} = \frac{10\, V}{10\, \Omega} = 1\, A$, flowing in the direction of the $20\, V$ battery. Since the point $G$ is grounded, $V_G = 0\, V$, so $V_S = 0\, V$ and $V_R = 0\, V$. Moving from $R$ to $Q$ through the $1\, \Omega$ resistor against the current, $V_Q = V_R + I 	imes 1\, \Omega = 0 + 1\, A 	imes 1\, \Omega = 1\, V$. Moving from $Q$ to $P$ through the batteries and internal resistance, $V_P = V_Q + 20\, V - 1\, \Omega 	imes 1\, A - 10\, V - 0.5\, \Omega 	imes 1\, A = 1 + 20 - 1 - 10 - 0.5 = 9.5\, V$. Re-evaluating the options based on the circuit diagram: $V_S = 0\, V$ and $V_R = 0\, V$ are correct. $V_Q = 1\, V$ is correct. Option $A$ is incorrect as $V_P$ is not $-7.5\, V$.

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

Similar Questions

The differential equation of the family $y=a e^x+b x e^x+c x^2 e^x$ of curves, where $a, b, c$ are arbitrary constants, is

An aluminium ring $B$ faces an electromagnet $A$. The current $I$ through $A$ can be altered. Which of the following statements is correct?

The value of ${81^{(1/{\log_5}3)}} + {27^{\log_9 36}} + {3^{4/{\log_7}9}}$ is equal to

Two numbers are chosen at random from $\{1, 2, 3, 4, 5, 6, 7, 8\}$ at a time. The probability that the smaller of the two numbers is less than $4$ is

$100$ cells each of e.m.f. $5 \ V$ and internal resistance $1 \ \Omega$ are to be arranged so as to produce maximum current in a $25 \ \Omega$ resistance. Each row is to contain equal number of cells. The number of rows should be

Vedclass Test Series

Exam Paper Generator

Online Exam Module