Three identical coils , and are closely placed such that they share a common axis. is exactly midway. carries current in anti-clockwise direction while carries current in clockwise direction. [2026]

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Q.
Three identical coils $C_{1}$ , $C_{2}$ and $C_{3}$ are closely placed such that they share a common axis. $C_{2}$ is exactly midway. $C_{1}$ carries current $I$ in anti-clockwise direction while $C_{3}$ carries current $I$ in clockwise direction. An induced current flows through $C_{2}$ will be in clockwise direction when [2026]

1 $C_{1}$ moves towards $C_{2}$ and $C_{3}$ moves away from $C_{2}$

2 $C_{1}$ moves away from $C_{2}$ and $C_{3}$ moves towards $C_{2}$

3 $C_{1}$ and $C_{3}$ move with equal speeds towards $C_{2}$

4 $C_{1}$ and $C_{3}$ move with equal speeds away from $C_{2}$

Ans.
(1)

Magnetic field through the coil is

$\vec{B} = (B_{c_{2}} - B_{c_{1}}) \hat{i}$

$ϕ = (B_{c_{2}} - B_{c_{1}}) A$

$ε = \frac{- d ϕ}{d t}$

Find the direction according to Lenz's law.

If the coil moves away, then the magnetic field decreases and vice versa.

Correct Ans. (1)

Solution

1 $C_{1}$ moves towards $C_{2}$ and $C_{3}$ moves away from $C_{2}$

2 $C_{1}$ moves away from $C_{2}$ and $C_{3}$ moves towards $C_{2}$

3 $C_{1}$ and $C_{3}$ move with equal speeds towards $C_{2}$

4 $C_{1}$ and $C_{3}$ move with equal speeds away from $C_{2}$

Ans.
(1)

Magnetic field through the coil is

$\vec{B} = (B_{c_{2}} - B_{c_{1}}) \hat{i}$

$ϕ = (B_{c_{2}} - B_{c_{1}}) A$

$ε = \frac{- d ϕ}{d t}$

Find the direction according to Lenz's law.

If the coil moves away, then the magnetic field decreases and vice versa.

Correct Ans. (1)

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Solution

Q. Three identical coils C1, C2 and C3 are closely placed such that they share a common axis. C2 is exactly midway. C1 carries current I in anti-clockwise direction while C3 carries current I in clockwise direction. An induced current flows through C2 will be in clockwise direction when [2026]

1 C1 moves towards C2 and C3 moves away from C2

2 C1 moves away from C2 and C3 moves towards C2

3 C1 and C3 move with equal speeds towards C2

4 C1 and C3 move with equal speeds away from C2

Ans. (1) Magnetic field through the coil is B→=(Bc2-Bc1) i^ ϕ=(Bc2-Bc1)A ε=-dϕdt Find the direction according to Lenz's law. If the coil moves away, then the magnetic field decreases and vice versa. Correct Ans. (1)

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1 $C_{1}$ moves towards $C_{2}$ and $C_{3}$ moves away from $C_{2}$

2 $C_{1}$ moves away from $C_{2}$ and $C_{3}$ moves towards $C_{2}$

3 $C_{1}$ and $C_{3}$ move with equal speeds towards $C_{2}$

4 $C_{1}$ and $C_{3}$ move with equal speeds away from $C_{2}$

Ans.
(1)

Magnetic field through the coil is

$\vec{B} = (B_{c_{2}} - B_{c_{1}}) \hat{i}$

$ϕ = (B_{c_{2}} - B_{c_{1}}) A$

$ε = \frac{- d ϕ}{d t}$

Find the direction according to Lenz's law.

If the coil moves away, then the magnetic field decreases and vice versa.

Correct Ans. (1)