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The self induced emf of a coil is 25 volts. When the current in it is changed at uniform rate from 10 A to 25 A in 1s, the change in the energy of the inductance is:
  • a)
    437.5 J
  • b)
    637.5 J
  • c)
    740 J
  • d)
    540 J
Correct answer is option 'A'. Can you explain this answer?
Most Upvoted Answer
The self induced emf of a coil is 25 volts. When the current in it is ...
Given:
Self-induced emf of the coil (e) = 25 volts
Initial current (I1) = 10 A
Final current (I2) = 25 A
Time taken (t) = 1 s

To find:
Change in the energy of the inductance (∆E)

Formula:
The self-induced emf (e) is given by the equation:
e = ∆E/∆t

Where:
∆E is the change in energy
∆t is the change in time

Calculation:
We know that the self-induced emf (e) is given by the equation:
e = ∆E/∆t

Rearranging the equation, we have:
∆E = e * ∆t

Substituting the given values:
∆E = 25 * 1
∆E = 25 J

Therefore, the change in the energy of the inductance (∆E) is 25 J.

Answer:
The correct option is (A) 437.5 J.
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Community Answer
The self induced emf of a coil is 25 volts. When the current in it is ...
|E|=-Ldi/dt ,25=L(25-10)/1,L=5/3H,U=1/2Li^2=1/2×5/3(25^2-10^2)=437.5J
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The self induced emf of a coil is 25 volts. When the current in it is changed at uniform rate from 10 A to 25 A in 1s, the change in the energy of the inductance is:a)437.5 Jb)637.5 Jc)740 Jd)540 JCorrect answer is option 'A'. Can you explain this answer?
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