A circular coil of radius 5, cm has 500 turns | vedclass

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

Question

(A) The magnetic flux linked with a coil is given by $\phi = Li$,where $L$ is the self-inductance and $i$ is the current.Also,$\phi = NBA$,where $N$ i

Vedclass · Accepted Answer

$25\, mH$

Vedclass · Answer

(A) The magnetic flux linked with a coil is given by $\phi = Li$,where $L$ is the self-inductance and $i$ is the current.Also,$\phi = NBA$,where $N$ is the number of turns,$B$ is the magnetic field,and $A$ is the area of the coil.For a circular coil,the magnetic field at the center is $B = \frac{\mu_0 Ni}{2r}$.The area of the coil is $A = \pi r^2$.Equating the two expressions for flux: $Li = N \left( \frac{\mu_0 Ni}{2r} ight) (\pi r^2)$.Simplifying,we get $L = \frac{\mu_0 N^2 \pi r}{2}$.Given: $N = 500$,$r = 0.05\, m$,and $\mu_0 = 4\pi 	imes 10^{-7}\, T\cdot m/A$.Substituting the values: $L = \frac{4\pi 	imes 10^{-7} 	imes (500)^2 	imes \pi 	imes 0.05}{2}$.$L = 2 	imes 10^{-7} 	imes 250000 	imes \pi^2 	imes 0.05$.Using $\pi^2 \approx 10$,$L \approx 2 	imes 10^{-7} 	imes 250000 	imes 10 	imes 0.05 = 0.025\, H = 25\, mH$.

$A$ circular coil of radius $5\, cm$ has $500$ turns of a wire. The approximate value of the coefficient of self-induction of the coil will be:

Similar Questions

If $N$ is the number of turns in a coil,the value of self-inductance varies as

The current $(I)$ in an inductor is varying with time $(t)$ as shown in the figure. Which of the following graphs shows the correct variation of voltage $(V)$ with time $(t)$ in the inductor?

Consider a current in a circuit falls from $6.0 \,A$ to $1.0 \,A$ in $0.2 \,s$. If an average emf of $150 \,V$ is induced by the circuit,then the self inductance of the circuit is (in $\,H$)

Current in a circuit falls from $5.0 \, A$ to $0.0 \, A$ in $0.1 \, s$. If an average $emf$ of $200 \, V$ is induced,give an estimate of the self-inductance of the circuit in $Henry$.

The self-inductance $L$ of a solenoid of length $\lambda$ and area of cross-section $A$ with a fixed number of turns $N$ increases as

Vedclass Test Series

Exam Paper Generator

Online Exam Module