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Please see the attachment.
We can analyze the situations in a better and easy way as follows.
(1) For a single element circuit having resistance only the ratio of voltage and current is constant and is equal to the resistance in the circuit. This type of the relationship is in case c. The ratio of V (t) and i (t) is given by
Hence incase c the element is only resistance and its value is 2 ohm.
(2) For a single element circuit having inductor only, the voltage of ...
The time varying currents and voltages are given, the component is identified in the solution. The circuit contains inductor capacitor and resistor, energy stored in a capacitor is also calculated.