Allowed : One Equation Sheet (Handed out by TA)

1 ) You are given 4 resistors each with resistance R = 4 ohm and a battery of 3 volt,

a) How will you connect the circuit such that the equivalent resistance would be 1 ohm?

What will be the current through one of the resistors in that case?

b) How will you connect the circuit such that the equivalent resistance would be 4 ohm? What will be the current through one of the resistors in this case?

Note : in both cases you must use all 4 resistors! Also, draw the circuit diagram

2 ) The following is a graph of the potential as a function of time for a Discharging capacitor. What is the time constant for this decay process? If the resistor involved in the circuit is of resistance R = 50 Mohm , what is the capacitance of the capacitor?

The

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