Solenoid #1 has a length L, cross-sectional area A, and Nturns. Solenoid #2 has

Question

Solenoid #1 has a length L, cross-sectional area A, and Nturns. Solenoid #2 has a length 2L, cross-sectional area 2A,and 2N turns. Which solenoid has the greater magnetic fieldat its center when equal currents are going through them? a. #1 b. #2 c. Both have the same magnetic field d. Since it depends on the values of A and L, none ofthe above are correct Solenoid #1 has a length L, cross-sectional area A, and Nturns. Solenoid #2 has a length 2L, cross-sectional area 2A,and 2N turns. Which solenoid has the greater magnetic fieldat its center when equal currents are going through them? a. #1 b. #2 c. Both have the same magnetic field d. Since it depends on the values of A and L, none ofthe above are correct

Explanation / Answer

Solenoid #1has a length L, cross-sectional area A, and N turns. Solenoid#2 has a length 2L, cross-sectional area 2A, and 2N turns. Which solenoid has the greater magnetic field at its center whenequal currents are going through them? a. #1 b. #2 (c) Both have the samemagnetic field d. Since it depends on the values of A and L, none ofthe above are correct

EXPLANATION:
{Magnetic Field At Center Of Solenoid #1} = (B_1) = *N*I/L
{Magnetic Field At Center Of Solenoid #2} = (B_2) = *(2*N)*I/(2*L) = *N*I/L
---->   (B_1) = (B_2)

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