Concept explainers
(a)
The output across the resistance R2 using an ideal voltmeter.
(a)
Answer to Problem 91A
The output voltage across R2 is
Explanation of Solution
Given:
A voltage divider circuit consists of two resistors of value,
Formula Used:
The voltage across a resistor in a potential divider circuit with a supply voltage V is given by,
Calculation:
Consider the potential divider circuit shown in Figure 1. Here, the supply voltage is 12-V and the two resistors have 47-kΩ.
Figure 1
In the given case, the voltmeter is ideal and hence has no resistance. Thus, it measures the voltage across
Conclusion:
The voltage across R2 as measured using an ideal voltmeter is 6 V.
(b)
The output across the resistance R2 using an ideal voltmeter.
(b)
Answer to Problem 91A
The output voltage across R2is
Explanation of Solution
Given:
A voltage divider circuit consists of two resistors of value,
Formula Used:
The voltage across a resistor in a potential divider circuit with a supply voltage V is given by,
Calculation:
Consider the potential divider circuit shown in Figure 2. Here, the supply voltage is 12-V and the two resistors have 47-kΩ. The voltmeter connected across R2 is having a resistance of 85 kΩ.
Figure 2
In the given case, the voltmeter is having a resistance and this appears in parallel with
Now, the voltage measured by the voltmeter is given by
Conclusion:
The voltage across R2 as measured using a voltmeter of given resistance is 4.69 V.
(b)
The output across the resistance R2 .
(b)
Answer to Problem 91A
The output voltage across R2 is
Explanation of Solution
Given:
A voltage divider circuit consists of two resistors of value,
Formula Used:
The voltage across a resistor in a potential divider circuit with a supply voltage V is given by,
Calculation:
Consider the potential divider circuit shown in Figure 2. Here, the supply voltage is 12-V and the two resistors have 47-kΩ. The voltmeter connected across R2 is having a resistance of 10 M?.
Figure 3
In the given case, the voltmeter is having a resistance and this appears in parallel with
Now, the voltage measured by the voltmeter is given by
Conclusion:
The voltage across R2 as measured using a voltmeter of given resistance is 5.99 V. It can be observed that as the resistance of the voltmeter is made higher, the measured voltage value is close to ideal case.
Chapter 23 Solutions
Glencoe Physics: Principles and Problems, Student Edition
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