A horizontal straight wire 10 m long extending from east to west is falling with a speed of 5.0 ms^–1 at right angles to the horizontal component of the earth's magnetic field 0.30 x 10^–4 Wb m^–2.
(a)    What is the instantaneous value of the e.m.f. induced in the wire?
(b)    What is the direction of the e.m.f?
(c)    Which end of the wire is at higher electrical potential?

Solution

Here,
Length of the wire, l =10 m
Speed, v= 5 m/s
Earth's magnetic fiels, B = 0.30 x 10^–4 Wb m^–2
(a) Instantaneous value of e.m.f induced in the wire,

e = B l ν

= 0.30 x 10^–4 x 10 x 5.0
= 1.5 x 10^–3 V.

(b) According to Fleming's right hand rule, the direction of induced e.m.f is from west to east.

(c) West end of the wire must be at higher electric potential.

Some More Questions From Electric Charges and Fields Chapter

a) An electrostatic field line is a continuous curve. That is, a field line cannot have sudden breaks. Why not?
b) Explain why two field lines never cross each other at any point?

Figure shows tracks of three charged particles in a uniform electrostatic field. Give the signs of the three charges. Which particle has the highest charge to mass ratio?

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Electric Charges And Fields

Some More Questions From Electric Charges and Fields Chapter

a) An electrostatic field line is a continuous curve. That is, a field line cannot have sudden breaks. Why not?
b) Explain why two field lines never cross each other at any point?

Figure shows tracks of three charged particles in a uniform electrostatic field. Give the signs of the three charges. Which particle has the highest charge to mass ratio?

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NCERT Sample Papers

Entrance Exams Preparation

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For Daily Free Study Material Join wiredfaculty

Electric Charges And Fields

Some More Questions From Electric Charges and Fields Chapter

a) An electrostatic field line is a continuous curve. That is, a field line cannot have sudden breaks. Why not?b) Explain why two field lines never cross each other at any point?

Figure shows tracks of three charged particles in a uniform electrostatic field. Give the signs of the three charges. Which particle has the highest charge to mass ratio?

Mock Test Series

NCERT Sample Papers

Entrance Exams Preparation

a) An electrostatic field line is a continuous curve. That is, a field line cannot have sudden breaks. Why not?
b) Explain why two field lines never cross each other at any point?