If the direction of the current changes in the current carrying loop placed in some magnetic field perpendicular to loop, then Potential energy of loop is not effected because current is a scalar quantity.Enter 1 if true and 0 if False.

Question

Verified by Toppr

Answer 1

For the current loop ABCD in magnetic field $B$
Let current flowing = I
Area enclosed = A and

$μ$ = magnetic dipole moment.

Now torque expression
$τ = μ \times B_{ext}$
$τ = μ B_{ext} sin θ$
Thus potential energy,
$U = \int τ d θ$
$= \int μ B sin θ d θ$
$U = μ B cos θ$
Thus U depends of $μ$ .
Here U depends on $μ$ , magnetic moment which depends on direction of current.
Thus potential energy changes.
Hence false(0).

Answer 2

For the current loop ABCD in magnetic field

B

Let current flowing = I

Area enclosed = A and

μ

= magnetic dipole moment.

Now torque expression

τ = μ \times B_{ext}

τ = μ B_{ext} sin θ

Thus potential energy,

U = \int τ d θ

= \int μ B sin θ d θ

U = μ B cos θ

Thus U depends of

μ

.

Here U depends on

μ

, magnetic moment which depends on direction of current.

Thus potential energy changes.

Hence false(0).