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Power Computations

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The figure in attachment represents a high-voltage transmission line. With the receiving end on open-circuit, the relationships between the sending end voltage and current and the receiving end voltage are given by the equations in the attachment.

Given the parameter values in the table in the attachment, and an open-circuit voltage measured as 88.9 kV, calculate the open-circuit power absorbed from the supply by the transmission line.

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Compute the energy, voltage and instantaneous power for capacitors and inductors.

Please help with the following problem. Provide step by step calculations for each.

1. What is the energy in a 2 F capacitor at t = pi seconds if v(t) = cos(2t) ?
2. What is the energy in a 10 H inductor at t = pi seconds if i(t) = cos(2t) ?
3. The current flowing through a 1 H inductor is i(t) = 10*cos(20t) amps. Find the voltage.
4. The voltage across a 2 F capacitor is v(t) = 20*e^(-4t) volts. What is the instantaneous power?
5. The current flowing through a 2 H inductor is i(t) = 5*cos(2t) amps. What is the voltage?
6. The charge in a 2 F capacitor varies as q(t) = 20*e^(-4t)*sin(2t) C. What is the voltage?

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