Applications of Exponential & Log Function Derivatives
2. The charge across a capacitor at any time t is given by:
q = e-0.02t(0.05cos 2t)
Find the current in the circuit.
Remember that i = dq/dt.
Use the Product Rule:
i = dq/dt = e-0.02t(-0.05sin 2t)(2) + (-0.02e-0.02t(0.05cos 2t)
i = -e-0.02t(0.1sin 2t + 0.05 cos2t)