Programmed Review for Electrical Engineering, Third Edition

This problem illustrates the practical application of using a microammeter and some precision resistors to create a voltmeter.
Q:
Given a microammeter having a 50 ? amp movement and an internal resistance of 10 ohms, design a voltmeter with ranges of 10 VDC, 50 VDC, 100 VDC, and 500 VDC.
Answers
Q:
The voltmeter circuit is as follows:
A 50 ? amp movement yields a sensitivity of:
Calculating the precision resistors:
Resistance of the 10 volt range, R 10, is:
(answer)
R 10 = R 4 + R M = (10 volts) (20,000 ?/volt) = 200,000 ?
R 4 = 200,000 - 10 = 199,990 ?
Resistance of the 50 volt range, R 50, is:
(answer)
R 50 = R 3 + R 10 = (50 volts) (20,000 ?/volt) = 1 M ?
R 3 = 10 6 - 200,000 = 800,000 ?
Resistance of the 100 volt range, R 100, is:
(answer)
R 100 = R 2 + R 50 = (100 volts) (20,000 ?/volt) = 2 M ?
R 2 = 2 10 6 - 10 6 = 1 M ?
Resistance of the 500 volt range, R 500, is:
(answer)
R 500 = R 1 + R 100 = (500 volts) (20,000 ?/volt) = 10 M ?
R 1 = 10 ...