How do you solve this problem? A simple electric switch contains a battery produ

Question

How do you solve this problem? A simple electric switch contains a battery producing E volts(V) and a current of I(t) amperes (A) at time t. The circuit also contains a resistor with a resistance R ohms and an inductor with an inductance L henries (H). This can be modeled by the following equation L(di/dt) + RI = E(t). Find an expression for the current in the circuit where the resistance is 12 ohms, the inductance is 4 H, a battery gives a constant voltage of 60V and the switch is turned on when t=0.

Explanation / Answer

at t= 0 , dI/dt = 0 I = E/R

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