A square loop of side 10 cm and resistance 0 | vedclass

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

Question

(A) Given:Side of square loop,$l = 10 \ cm = 0.1 \ m$Area of loop,$A = l^2 = (0.1 \ m)^2 = 0.01 \ m^2 = 100 \ cm^2$Resistance,$R = 0.5 \ \Omega$Initia

Vedclass · Accepted Answer

$2 	imes 10^{-3} \ A$

Vedclass · Answer

(A) Given:Side of square loop,$l = 10 \ cm = 0.1 \ m$Area of loop,$A = l^2 = (0.1 \ m)^2 = 0.01 \ m^2 = 100 \ cm^2$Resistance,$R = 0.5 \ \Omega$Initial magnetic field,$B_1 = 0.10 \ T$Final magnetic field,$B_2 = 0 \ T$Time interval,$\Delta t = 0.70 \ s$Angle between the area vector (normal to the loop) and the magnetic field vector,$	heta = 45^{\circ}$The magnetic flux $\phi$ is given by $\phi = BA \cos 	heta$.Initial flux,$\phi_1 = B_1 A \cos 45^{\circ} = 0.10 	imes 0.01 	imes \frac{1}{\sqrt{2}} \ Wb$.Final flux,$\phi_2 = 0 \ Wb$.Change in flux,$\Delta \phi = \phi_2 - \phi_1 = -\phi_1 = -\frac{0.001}{\sqrt{2}} \ Wb$.Induced emf,$\varepsilon = -\frac{\Delta \phi}{\Delta t} = -\left( -\frac{0.001}{\sqrt{2} 	imes 0.70} ight) = \frac{0.001}{0.70 	imes 1.414} \approx 1.01 	imes 10^{-3} \ V$.Using the provided approximation in the original problem: $\varepsilon = \frac{0.1 	imes 100 	imes 10^{-4} 	imes \cos 45^{\circ}}{0.70} = \frac{0.001 	imes 0.707}{0.70} \approx 10^{-3} \ V$.Induced current,$I = \frac{\varepsilon}{R} = \frac{10^{-3} \ V}{0.5 \ \Omega} = 2 	imes 10^{-3} \ A$.

Similar Questions

$A$ coil has $200$ turns and an area of $70 \ cm^2$. The magnetic field perpendicular to the plane of the coil is $0.3 \ Wb/m^2$ and it takes $0.1 \ s$ to rotate through $180^o$. The value of the induced $e.m.f.$ will be ...... $V$.

The graph shows the variation in magnetic flux $\phi(t)$ with time through a coil. Which of the statements given below is not correct?

The negative sign in Faraday's law represents which fact?

$A$ coil having effective area '$A$' is held with its plane normal to a magnetic field of induction '$B$'. The magnetic induction is quickly reduced to $25\%$ of its initial value in $1 \text{ s}$. The e.m.f. induced in the coil (in volt) will be

Vedclass Test Series

Exam Paper Generator

Online Exam Module