the inductance of a solenoid is 5 henry and its resistance is 5 ohm if it is connected to a 10 volt battery then time taken by the current to reach 9 by Tenth of its maximum will be
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- Time taken by the battery to reach 9/10 th of its maximum will be 2.3 seconds.
Given-
- Inductance of solenoid = 5 Henry
- Resistance of solenoid = 5 ohm
- Voltage of battery = 10 volt
We know that -
I = I₀ [ 1 - e^ -Rt/L] where R is the resistance, L is inductance and t is time.
So,
I = I₀ [ 1 - e^ -Rt/L] = 9/10
By putting the values of inductance and resistance we get-
I/I₀ = [1 - e^ -5t/5 ] = 9/10
e ^-t = 1/10
e^ t = 10
or t = 2.3 seconds
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