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Moving Charges And Magnetism

Question
CBSEENPH12039488
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A rectangular loop of sides 10 cm and 5 cm carrying a current I of 12 A is placed in different orientations as shown in the figures below:



If there is a uniform magnetic field of 0.3 T in the positive z direction , in which orientations the loop would be in (i) stable equilibrium and (ii) unstable equilibrium?

  • (a) and (b) respectively

  • (a) and (c) respectively

  • (b) and (d) respectively

  • (b) and (c)  respectively

Solution

C.

(b) and (d) respectively

Since, B is uniform only torque acts on a current carrying loop
As, straight tau space equals space bold M bold space bold x bold space bold B vertical line straight tau vertical line space equals space vertical line bold M vertical line vertical line bold B vertical line space sin space straight theta For space orientation space shown space in space left parenthesis straight b right parenthesis space straight theta space equals space 0 to the power of 0 comma space straight tau space equals space 0 space stable space equilibrium

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.

Answer the following questions:
A charged particle enters an environment of a strong and non-uniform magnetic field varying from point to point both in magnitude and direction, and comes out of it following a complicated trajectory. Would its final speed equal the initial speed if it suffered no collisions with the environment?

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