A 101 resistor is connected to a signal generator at 4 volts maximum, 25 Hz freq

Question

A 101 resistor is connected to a signal generator at 4 volts maximum, 25 Hz frequency.

The phase angle between the current and voltage across the resistor is (approximately):

-60°

-45°

-30°

-0°

-90°

And the current ________ the voltage.

-leads

-lags

-is out of random phase

-in pase with

The magnitude of the maximum current in the circuit is _____mA

If the generator frequency is increased the maximum current _______ and the phase shift between the current and the voltage across the resistor_________.

1st blank:

-decreases

-does not change

-increases

2nd blank:

-decreases

-does not change

-increases

If another resistor of the same value is added to the circuit in parallel to the original resistor, the maximum current through the circuit will

-decrease because the current in second resistor will be out of phase with the current through the first resistor

-not change because the current in second resistor will be /2 out of phase with the original current through the first resistor

-increase because the current in second resistor will be slightly out of phase with the current through the first resistor

-increase by × 2

-decrease by × 2

-not change because AC current will not branch into second resistor

Explanation / Answer

for resistors, voltage and current are in phase then

a) 0°

b) in phase

c) the maximum value of the current is

i = v / R = ( 4 v ) / ( 101 Ohm ) = 0.039 A

d) 1st blank: does not change ; 2nd blank: does not change

e) resistor in parallels can be changed by their equivalent

1/Req = 1/R + 1/R = 2/R ---> Req = R/2

hence, the maximum current in the curcuit

i = V / Req = V / ( R/2 ) = ( 2 V ) / R = ( 2 * 4 v ) / ( 101Ohm ) = 0.0792 A

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