In the given figure, an inductor and resistor are connected in series with a battery of emf E volt. 
represents the maximum rate at which the energy is stored in the magnetic field (inductor). The numerical value of 
will be_____.
Text Solution
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(25)
The formula to calculate the current flowing through an L-R circuit is given by
...(i)
The energy stored within the inductor can be calculated as follows:
…(ii)
The rate of change of energy stored within the inductor is given by
…(iii)
For maximum rate,
...(iv)
From equation (iii) and (iv), it can be written that
…(v)
From equation (iii) and (v), it can be written, under maximum energy stored condition for the circuit, that
Substitute the values of the resistance and compare with the given expression to obtain the values of the parameters.
a = 2
b = 2R
= 50
Hence, the required ratio is given by
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