The current in the given circuit is increasin | vedclass

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

Question

(C) Given: $E = 4 \, V$,$R = 1 \, \Omega$,$L = 1 \, H$,$C = 3 \, \mu F$,$\frac{dI}{dt} = 4 \, A/s$,and $I = 2 \, A$.Applying Kirchhoff's Voltage Law $

Vedclass · Accepted Answer

$6$

Vedclass · Answer

(C) Given: $E = 4 \, V$,$R = 1 \, \Omega$,$L = 1 \, H$,$C = 3 \, \mu F$,$\frac{dI}{dt} = 4 \, A/s$,and $I = 2 \, A$.Applying Kirchhoff's Voltage Law $(KVL)$ to the loop:$E - IR - L\frac{dI}{dt} - \frac{q}{C} = 0$Substituting the given values:$4 - (2 	imes 1) - (1 	imes 4) - \frac{q}{3 	imes 10^{-6}} = 0$$4 - 2 - 4 - \frac{q}{3 	imes 10^{-6}} = 0$$-2 - \frac{q}{3 	imes 10^{-6}} = 0$$\frac{q}{3 	imes 10^{-6}} = -2$$q = -6 	imes 10^{-6} \, C = -6 \, \mu C$.Since the magnitude of the charge is requested,the answer is $6 \, \mu C$.

The current in the given circuit is increasing at a rate of $\frac{dI}{dt} = 4 \, A/s$. The charge on the capacitor at an instant when the current in the circuit is $2 \, A$ will be: ...... $\mu C$

Similar Questions

The unit $\text{Wb}/\Omega$ represents which physical quantity?

$A$ flexible wire bent in the form of a circle is placed in a uniform magnetic field perpendicular to the plane of the coil. The radius of the coil changes as shown in the figure. The graph of induced $emf$ in the coil is represented by

The switch $S$ shown in the circuit is closed at $t=0$. The ratio of the current drawn from the battery by the circuit at $t=0$ and $t=\infty$ is:

The current $i$ in an inductance coil varies with time $t$ according to the following graph. Which one of the following plots shows the variations of voltage $V$ in the coil?

An $AC$ generator converts

Vedclass Test Series

Exam Paper Generator

Online Exam Module