Answer :
The maximum current in the circuit is 17.46 A.
To find the maximum current in the circuit, we need to find the time at which the current reaches its maximum value. This occurs when the derivative of the current with respect to time is zero:
di/dt = (V/L) e^(-Rt/L) = 0
Solving for t, we get:
t = (L/R) ln(V/I)
where I is the maximum current.
Substituting the given values, we get:
t = (3.5/6.2) ln(38.2/I) = 0.3
Solving for I, we get:
I = 17.46 A
Inductance is a property of an electrical circuit that describes the ability of a component to store energy in a magnetic field. It is measured in henries (H) and is denoted by the letter L. Inductors are components that are specifically designed to have high inductance.
If the current is changing, then the magnetic field also changes, and this change induces a voltage in nearby conductors. This is known as electromagnetic induction, and it is the basis for many important electrical devices, including transformers and electric motors. The inductance of a component depends on several factors, including the number of turns in the coil, the size of the coil, and the material from which the coil is made.
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