Two conducting circular loops A and B are placed in the same plane with their centres coinciding as shown in figure. The mutual inductance between them is

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Q.
Two conducting circular loops A and B are placed in the same plane with their centres coinciding as shown in figure. The mutual inductance between them is [2024]

Solution

Q.
Two conducting circular loops A and B are placed in the same plane with their centres coinciding as shown in figure. The mutual inductance between them is [2024]

1 $\frac{μ_{0} π b^{2}}{2 a}$

2 $\frac{μ_{0} π a^{2}}{2 b}$

3 $\frac{μ_{0}}{2 π} \cdot \frac{b^{2}}{a}$

4 $\frac{μ_{0}}{2 π} \cdot \frac{a^{2}}{b}$

Ans.
(2)

Magnetic flux through smaller loop, $ϕ = M i = B A$

$ϕ = (\frac{μ_{0} i}{2 b}) \cdot π a^{2} = M i$

$M = \frac{μ_{0} π a^{2}}{2 b}$

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Solution

Q. Two conducting circular loops A and B are placed in the same plane with their centres coinciding as shown in figure. The mutual inductance between them is [2024]

1 μ0πb22a

2 μ0πa22b

3 μ02π·b2a

4 μ02π·a2b

Ans. (2) Magnetic flux through smaller loop, ϕ=Mi=BA ϕ=(μ0i2b)·πa2=Mi M=μ0πa22b

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Q.
Two conducting circular loops A and B are placed in the same plane with their centres coinciding as shown in figure. The mutual inductance between them is [2024]

1 $\frac{μ_{0} π b^{2}}{2 a}$

2 $\frac{μ_{0} π a^{2}}{2 b}$

3 $\frac{μ_{0}}{2 π} \cdot \frac{b^{2}}{a}$

4 $\frac{μ_{0}}{2 π} \cdot \frac{a^{2}}{b}$

Ans.
(2)

Magnetic flux through smaller loop, $ϕ = M i = B A$

$ϕ = (\frac{μ_{0} i}{2 b}) \cdot π a^{2} = M i$

$M = \frac{μ_{0} π a^{2}}{2 b}$