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Moving Charges And Magnetism

Question
CBSEENPH12039666
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A long solenoid has 200 turns per cm and carries a current i. The magnetic field at its centre is 6.28 × 10−2 Weber/m2. Another long solenoid has 100 turns per cm and it carries a current i/3. The value of the magnetic field at its centre is

  • 1.05 × 10−4 Weber/m2

  • 1.05 × 10−2 Weber/m2

  • 1.05 × 10−3 Weber/m2

  • 1.05 × 10−1 Weber/m2

Solution

B.

1.05 × 10−2 Weber/m2

straight B subscript 2 space equals space fraction numerator straight B subscript 1 straight n subscript 2 straight i subscript 2 over denominator straight n subscript 1 straight i subscript 1 end fraction space equals space fraction numerator left parenthesis 6.28 space straight x space 10 to the power of negative 12 end exponent right parenthesis left parenthesis 100 space straight x space straight i divided by 3 right parenthesis over denominator 200 left parenthesis straight i right parenthesis end fraction space equals space 1.05 space straight x space 10 to the power of negative 2 end exponent space straight W divided by straight m squared

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 M1.

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