A horizontal straight wire $20 m$ long extending from east to west is falling with a speed of $5.0 m / s$ at right angle to the horizontal component of the earths magnetic field $0.30 \times 10^{- 4} W b / m^{2}$ . The instantaneous value of the e.m.f induced in the wire will be

1.5 m V

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6.0 m V

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3 m V

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4.5 m V

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Solution

The correct option is C $3 m V$
C. $3 m V$
Given,
$B = 0.30 \times 10^{- 4} W b / m^{2}$
$l = 20 m$
$v = 5.0 m / s$
The instantenous value of the emf induced in the wire is.
$ε = B v l$
$= 0.30 \times 10^{- 4} \times 5 \times 20 V$
$ε = 3 m V$

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A horizontal straight wire 20 m long extending from east to west is falling with a speed of 5.0 m/s at right angle to the horizontal component of the earths magnetic field 0.30×10−4 Wb/m2. The instantaneous value of the e.m.f induced in the wire will be

The correct option is C 3 mVC. 3mVGiven,B=0.30×10−4Wb/m2l=20mv=5.0m/sThe instantenous value of the emf induced in the wire is.ε=Bvl =0.30×10−4×5×20Vε=3mV

A horizontal straight wire $20 m$ long extending from east to west is falling with a speed of $5.0 m / s$ at right angle to the horizontal component of the earths magnetic field $0.30 \times 10^{- 4} W b / m^{2}$ . The instantaneous value of the e.m.f induced in the wire will be

The correct option is C $3 m V$
C. $3 m V$
Given,
$B = 0.30 \times 10^{- 4} W b / m^{2}$
$l = 20 m$
$v = 5.0 m / s$
The instantenous value of the emf induced in the wire is.
$ε = B v l$
$= 0.30 \times 10^{- 4} \times 5 \times 20 V$
$ε = 3 m V$