A horizontal straight wire 20 m long extanding from to east to west falling with a speed of 5.0 M s, at right angles to the horizontal component of the earth's magnetic field 0.30 × 10-4 Wb m2. The instantaneous Value of the e.m. f. induced in the wire will be :

Question

A horizontal straight wire 20 m long extanding from to east to west falling with a speed of 5.0 M s, at right angles to the horizontal component of the earth's magnetic field 0.30 × 10-4 Wb m2. The instantaneous Value of the e.m. f. induced in the wire will be : (A) 3 mV (B) 4.5 mV (C) 1.5 mV (D) 6.0mV

Tardigrade Admin · Accepted Answer

εind = Bvℓ = 0.3 × 10-4 × 5 × 20 = 3 × 10-3 v = 3 mv.

Q. A horizontal straight wire $20 m$ long extanding from to east to west falling with a speed of 5.0 M\s, at right angles to the horizontal component of the earth's magnetic field $0.30 \times 1 0^{- 4} Wb m^{2} .$ The instantaneous Value of the e.m. f. induced in the wire will be :

3 mV

4.5 mV

1.5 mV

6.0mV

$ε_{in d} = B v ℓ$
$= 0.3 \times 1 0^{- 4} \times 5 \times 20$
$= 3 \times 1 0^{- 3} v$
$= 3 m v .$

Q. A horizontal straight wire 20m long extanding from to east to west falling with a speed of 5.0 M\s, at right angles to the horizontal component of the earth's magnetic field 0.30×10−4Wb m2. The instantaneous Value of the e.m. f. induced in the wire will be :