Concept explainers
- (a) Obtain the voltage Vo in the circuit of Fig. 2.127(a).
- (b) Determine the voltage V′o measured when a voltmeter with 6-kΩ internal resistance is connected as shown in Fig. 2.127(b).
- (c) The finite resistance of the meter introduces an error into the measurement. Calculate the percent error as
- (d) Find the percent error if the internal resistance were 36 kΩ.
Figure 2.127
(a)
Find the value of voltage
Answer to Problem 67P
The value of voltage
Explanation of Solution
Calculation:
Refer to Figure 2.127(a) in the textbook.
Consider the current through
From current division rule, find the current through
From Ohms law, write the expression to find voltage across
Substitute
Conclusion:
Thus, the value of voltage
(b)
Find the voltage
Answer to Problem 67P
The voltage
Explanation of Solution
Calculation:
Refer to Figure 2.127(b) in the textbook.
In Figure 2.127(b), as internal resistance of
Consider the current through
From current division rule, find the current through
From Ohms law, write the expression to find voltage across
Substitute
Conclusion:
Thus, the voltage
(c)
Find the percent error.
Answer to Problem 67P
The error percent is
Explanation of Solution
Given data:
The expression for percent error is,
Calculation:
Substitute
Conclusion:
Thus, the error percent is
(d)
Find the percent error, when internal resistance is
Answer to Problem 67P
The error percentage, when internal resistance is
Explanation of Solution
Calculation:
Consider internal resistance as
Consider the current through
From current division rule, find the current through
From Ohms law, write the expression to find voltage across
Substitute
Substitute
Conclusion:
Thus, the error percent is
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Chapter 2 Solutions
Fundamentals of Electric Circuits
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