Final answer:
In an AC circuit, the current can be calculated using the equation I = P/V and the voltage can be calculated using the equation V = P/I. The given charge entering the positive terminal is q(t) = -10e^(-t) mC.
Step-by-step explanation:
In an AC circuit, the power delivered to a circuit element is given by the equation P = IV, where I is the current and V is the voltage across the element. The current in the element can be calculated by rearranging the equation to I = P/V. In this case, the power delivered to the element is p(t) = 2e^(-2t) mW. To find the voltage, we need to find the value of V when I = P/V, which can be calculated by rearranging the equation as V = P/I. The charge entering the positive terminal is given by q(t) = -10e^(-t) mC.