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# Solution - What is the Induced Emf in the Moving Rod If the Magnetic Field is Parallel to the Rails Instead of Being Perpendicular? - Induced Emf and Current

ConceptInduced Emf and Current

#### Question

Figure 6.20 shows a metal rod PQ resting on the smooth rails AB and positioned between the poles of a permanent magnet. The rails, the rod, and the magnetic field are in three mutual perpendicular directions. A galvanometer G connects the rails through a switch K. Length of the rod = 15 cm, = 0.50 T, resistance of the closed loop containing the rod = 9.0 mΩ. Assume the field to be uniform.

(a) Suppose K is open and the rod is moved with a speed of 12 cm s−1 in the direction shown. Give the polarity and magnitude of the induced emf.

(b) Is there an excess charge built up at the ends of the rods when

K is open? What if K is closed?

(c) With K open and the rod moving uniformly, there is no net force on the electrons in the rod PQ even though they do experience magnetic force due to the motion of the rod. Explain.

(d) What is the retarding force on the rod when K is closed?

(e) How much power is required (by an external agent) to keep the rod moving at the same speed (=12 cm s−1) when K is closed? How much power is required when K is open?

(f) How much power is dissipated as heat in the closed circuit?

What is the source of this power?

(g) What is the induced emf in the moving rod if the magnetic field is parallel to the rails instead of being perpendicular?

#### Solution

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#### APPEARS IN

NCERT Physics Textbook for Class 12 Part 1
Chapter 6: Electromagnetic Induction
Q: 14 | Page no. 231

#### Reference Material

Solution for question: What is the Induced Emf in the Moving Rod If the Magnetic Field is Parallel to the Rails Instead of Being Perpendicular? concept: Induced Emf and Current. For the courses CBSE (Arts), CBSE (Commerce), CBSE (Science)
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