A coil is placed perpendicular to a magnetic | vedclass

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

Question

(A) According to Faraday's law of electromagnetic induction, the induced emf $\varepsilon$ is given by $\varepsilon = N \left| \frac{\Delta \phi}{\Del

Vedclass · Accepted Answer

$70$

Vedclass · Answer

(A) According to Faraday's law of electromagnetic induction, the induced emf $\varepsilon$ is given by $\varepsilon = N \left| \frac{\Delta \phi}{\Delta t} ight|$.Here, $\Delta \phi = (\Delta B) A$, where $A = \pi r^2$ is the area of the coil.Given: $B_i = 5000 \,T$, $B_f = 3000 \,T$, $\Delta t = 2 \,s$, $\varepsilon = 22 \,V$, and diameter $d = 0.02 \,m$.The radius $r = \frac{d}{2} = 0.01 \,m$.The change in magnetic field $\Delta B = |B_f - B_i| = |3000 - 5000| = 2000 \,T$.The area $A = \pi (0.01)^2 = 0.0001 \pi \,m^2$.The change in flux $\Delta \phi = (\Delta B) A = 2000 	imes 0.0001 \pi = 0.2 \pi \,Wb$.Substituting these values into the emf formula: $22 = N \left( \frac{0.2 \pi}{2} ight)$.$22 = N (0.1 \pi)$.Using $\pi \approx 3.14$, $22 = N (0.314) \Rightarrow N = \frac{22}{0.314} \approx 70$.Thus, the number of turns is $70$.

$A$ coil is placed perpendicular to a magnetic field of $5000 \,T$. When the field is changed to $3000 \,T$ in $2 \,s$, an induced emf of $22 \,V$ is produced in the coil. If the diameter of the coil is $0.02 \,m$, then the number of turns in the coil is:

Similar Questions

Assertion $(A)$: When a circular coil,placed in a region with its plane parallel to a magnetic field,expands radially outwards,no emf is induced in it.
Reason $(R)$: There is a constant magnetic field in the perpendicular (to the plane of the coil) direction.

$A$ copper rod is moved in a magnetic field. The charge developed across its ends will be proportional to

The area of a coil is $A$. The coil is placed in a magnetic field which changes from $B_{0}$ to $4 B_{0}$ in time $t$. The magnitude of the induced e.m.f. in the coil will be:

An induced current of $2 \text{ A}$ flows through a coil. The resistance of the coil is $10 \text{ } \Omega$. What is the change in magnetic flux associated with the coil in $1 \text{ ms}$?

$A$ circular coil has $100$ turns,radius $3 \ cm$ and resistance $4 \Omega$. This coil is co-axial with a solenoid of $200$ turns/cm and diameter $4 \ cm$. If the solenoid current is decreased from $2 \ A$ to zero in $0.04 \ s$,then the current induced in the coil is

Vedclass Test Series

Exam Paper Generator

Online Exam Module