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In the circuit shown in Fig. P25.66, R is a variable resistor whose value ranges from 0to, and a and b are the terminals of a battery that has an emf =15.0V
and an internal resistance of 4.00. The ammeter and voltmeter are idealized meters. As R varies over its full range of values, what will be the largest and smallest readings of (a) the voltmeter and (b) the ammeter? (c) Sketch 99qualitative graphs of the readings of both meters as functions of R.

Short Answer

Expert verified

(a)Vmax=15V

(b)Imax=3.75A

(c)

Step by step solution

01

Determine the maximum voltmeter reading

According to Ohm鈥檚 law, the voltage is directly proportional to R. So, in this case, the maximum voltage will be obtained when the resistance is infinity. At infinity, there is no current flow in the circuit.

Vmax=-IrVmax=15V-0Vmax=15V

Therefore, the maximum voltage voltmeter reading is 15 V

02

Determine the maximum ammeter reading

According to Ohm鈥檚 Law, the current is inversely proportional to resistance. So, in this case, the maximum current will be obtained when the resistance is zero. At zero resistance, the flow of current in the circuit is maximum.

Imax=R+rImax=15V0+4Imax=3.75A

Therefore, the maximum ammeter reading is 3.75A

03

Determine the graph of the readings of both meters as functions of R

The below graph shows the curve between the voltage and the resistance where the voltage increases as the resistance increases to infinity.


The below graph shows the curve between the current and the resistance where the current decreases as the resistance increases till the current reaches to zero.

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Fig. E25.33

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