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To calculate the required inductance (L) for the commutating circuit, we can use the following formula related to SCR (Silicon Controlled Rectifier) turn-off and the necessary inductance for proper commutation:
[ L = frac{V cdot t}{I} ]
Where:
– ( V ) = Battery voltage (60 V)
– ( t ) = SCR turn-off time (20 μs = 20 x 10^{-6} s)
– ( I ) = Starting current (60 A)
Now substituting the values into the formula:
[ L = frac{60 text{ V} cdot 20 times 10^{-6} text{ s}}{60 text{ A}} ]
[ L = frac{60 cdot 20 times 10^{-6}}{60} ]
[ L = 20 times 10^{-6} text{ H} ]
[ L = 20 mu H ]
So, the value of inductance ( L ) required for the commutating circuit is 20 μH.