Question 311: Magnetism and Matter

Question

Two 10 cm long, straight wires, each carrying a current of 5A are kept parallel to each other. If each wire experienced a force of 10
$$-$$5
N, then separation between the wires is ____________ cm.

Accepted Answer

$${{dF} \over {dl}} = {{{\mu _0}{i_1}{i_2}} \over {2\pi d}}$$
So $${{2 	imes {{10}^{ - 7}} 	imes 5 	imes 5} \over d} = {{{{10}^{ - 5}}} \over {10 	imes {{10}^{ - 2}}}}$$
$$d = {{2 	imes {{10}^{ - 7}} 	imes 5 	imes 5} \over {{{10}^{ - 4}}}}$$
= 50 mm
= 5 cm

Magnetism and Matter

Two 10 cm long, straight wires, each carrying a current of 5A are kept parallel to each other. If each wire experienced a force of 10 $-$5 N, then separation between the wires is ____________ cm.

Integer / Numeric Answer Type