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Moving Charges And Magnetism

Question

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A rectangular loop of wire of size 4 cm × 10 cm carries a steady current of 2A. A straight long wire carrying 5A current is kept near the loop as shown.

If the loop and the wire are coplanar, find

(i) the torque acting on the loop and

(ii) the magnitude and direction of the force on the loop due to the current carrying wire.

Solution

i) Torque on the current carrying conductor is given by,
$straight tau straight space equals straight space straight M with rightwards harpoon with barb upwards on top straight space cross times straight B with rightwards harpoon with barb upwards on top straight space equals straight space MB straight space sin straight space straight theta$

In this case, M and B have the same direction. Therefore, = 0^o.

So Torque, = 0.

ii) The magnetic forces are equal and opposite on the parallel current carrying wires.

Therefore, force acting on the loop is given by,

$Error converting from MathML to accessible text.$

The force is attractive in nature or is towards the conductor.

Some More Questions From Moving Charges And Magnetism Chapter

Two moving coil meters, M₁ and M₂ have the following particulars:
R₁ = 10 Ω N₁ = 30,
A₁ = 3.6 x 10^–3 m², B₁ = 0.25 T
R₂ = 14 Ω; N₂ = 42,
A₂ = 1.8 x 10^–3 m², B₂ = 0.50 T
(The spring constants k are identical for the two meters).
Determine the ratio of (a) current sensitivity and (b) voltage sensitivity of M₂ and M_1.

Answer the following questions:
A charged particle enters an environment of a strong and non-uniform magnetic field varying from point to point both in magnitude and direction, and comes out of it following a complicated trajectory. Would its final speed equal the initial speed if it suffered no collisions with the environment?

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