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Standard XII

Physics

Using Lenz's Law

A uniform mag...

Question

A uniform magnetic field exists in region given by $\to B = 3^i + 4^j + 5^k$ . A rod of length $5$ m is placed along y-axis is moved along x-axis with constant speed $1$ m $/$ sec. Then induced e.m.f. in the rod will be.

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Solution

The correct option is B $25$ v
Given : $\to B = 3^i + 4^j + 5^k$
Length of rod $\to l = 5^j$
Velocity of rod $\to v = 1^i$
Induced emf is given by $E = (\to v \times \to B) . \to l$
$∴$ $E = (1^i \times (3^i + 4^j + 5^k)] . (5^j)$
Or $E = (4^k - 5^j) . (5^j) = - 25$ volts
$⟹ | E | = 25$ volts

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A uniform magnetic field exists in region given by →B=3^i+4^j+5^k. A rod of length 5m is placed along y-axis is moved along x-axis with constant speed 1m/sec. Then induced e.m.f. in the rod will be.

The correct option is B 25vGiven : →B=3^i+4^j+5^kLength of rod →l=5^jVelocity of rod →v=1^i Induced emf is given by E=(→v×→B).→l∴ E=(1^i×(3^i+4^j+5^k)].(5^j)Or E=(4^k−5^j).(5^j)=−25 volts⟹ |E|=25 volts

A uniform magnetic field exists in region given by $\to B = 3^i + 4^j + 5^k$ . A rod of length $5$ m is placed along y-axis is moved along x-axis with constant speed $1$ m $/$ sec. Then induced e.m.f. in the rod will be.

The correct option is B $25$ v
Given : $\to B = 3^i + 4^j + 5^k$
Length of rod $\to l = 5^j$
Velocity of rod $\to v = 1^i$
Induced emf is given by $E = (\to v \times \to B) . \to l$
$∴$ $E = (1^i \times (3^i + 4^j + 5^k)] . (5^j)$
Or $E = (4^k - 5^j) . (5^j) = - 25$ volts
$⟹ | E | = 25$ volts