Square coil A has 2N turns and sides of length L,and square coil B has N turns and sides of length 2L.When a current of 2 amps is sent through coil A and a current of 1 amp is sent through coil B,which coil has the greater magnetic moment?

Question

Quizplus · Accepted Answer

The magnetic moment ($m$) of a coil is given by the product of the number of turns ($N$), the current ($I$), and the area ($A$) of the coil ($m = NIA$). For coil A, $m_A = 2N \times 2 \times L^2 = 4NL^2$. For coil B, $m_B = N \times 1 \times (2L)^2 = 4NL^2$. Thus, both coils have the same magnetic moment.

Square Coil a Has 2N Turns and Sides of Length