In measuring a voltage, a voltmeter uses some current from the circuit. Consequently, the voltage measured is only an approximation to the voltage present when the voltmeter is not connected. Consider a circuit consisting of two 1830- resistors connected in series across a 70.0-V battery. (a) Find the voltage across one of the resistors. (b) A voltmeter has a full-scale voltage of 70.0 V and uses a galvanometer with a full-scale deflection of 4.34 mA. Determine the voltage that this voltmeter registers when it is connected across the resistor used in part (a). R Voltmeter Ry www R F V

Physics for Scientists and Engineers: Foundations and Connections
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ISBN:9781133939146
Author:Katz, Debora M.
Publisher:Katz, Debora M.
Chapter29: Direct Current (dc) Circuits
Section: Chapter Questions
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In measuring a voltage, a voltmeter uses some current from the circuit. Consequently, the voltage measured is only an approximation
to the voltage present when the voltmeter is not connected. Consider a circuit consisting of two 1830- resistors connected in series
across a 70.0-V battery. (a) Find the voltage across one of the resistors. (b) A voltmeter has a full-scale voltage of 70.0 V and uses a
galvanometer with a full-scale deflection of 4.34 mA. Determine the voltage that this voltmeter registers when it is connected across
the resistor used in part (a).
(a) Number
(b) Number
Units
Units
R
Voltmeter
Rv
V
www
R
Transcribed Image Text:In measuring a voltage, a voltmeter uses some current from the circuit. Consequently, the voltage measured is only an approximation to the voltage present when the voltmeter is not connected. Consider a circuit consisting of two 1830- resistors connected in series across a 70.0-V battery. (a) Find the voltage across one of the resistors. (b) A voltmeter has a full-scale voltage of 70.0 V and uses a galvanometer with a full-scale deflection of 4.34 mA. Determine the voltage that this voltmeter registers when it is connected across the resistor used in part (a). (a) Number (b) Number Units Units R Voltmeter Rv V www R
Expert Solution
Step 1

(a) The total resistance of the circuit is 2 * 1830 Q = 3660 Q, and the current in the circuit is

70.0 V / 3660 Q = 0.01918 A.

The voltage across one of the resistors is then 0.01918 A * 1830 Q = 35.15 V.

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