Starting with the left-most column, populate the boxes from left to right withou

Question

Starting with the left-most column, populate the boxes from left to right without skipping empty boxes. Ties should be grouped in the same box. A solenoid with radius r, number of turns n, current i, and length l has magnetic field strength B inside. Rank the magnitude of the magnetic fields, all having radius r, from smallest to largest, inside the following solenoids. (There may be ties.) Length 2l, current i, and number of turns 2n Length l, current 2i, and number of turns 2n Length I, current 2i, and number of turns n Length 2l, current i, and number of turns n Length 2l, current 2i, and number of turns n

Explanation / Answer

Magnetic field inside a solenoid is

   B = mue not*N*I/l

that is B is dirctly proportional to no of turns and current

   inversly proportional to the length of the wire

A) length 2l, current i , n= 2n , no change in B

       B1 = mue not*i*2n/2l = mue not*n*i/l = B

b) length l, current 2i , n= 2n ,

       B2 = mue not*2i*2n/l = 4(mue not*n*i/l) = 4 B

C) length l, current 2i , n= n ,

       B2 = mue not*2i*n/l = 2(mue not*n*i/l) = 2 B

D) length 2l, current i , n= n ,

       B2 = mue not*i*n/2l = (1/2)(mue not*n*i/l) = 0.5 B

E) length 2l, current 2i , n= n ,

       B2 = mue not*2i*n/2l = (mue not*n*i/l) = B

Ranking from smallest to largest is

D < A = E < C < B --------------->>>> Answer

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