a.
The potential difference across the galvanometer for a given current flow through it.
a.
Answer to Problem 75A
The potential difference across the galvanometer is
Explanation of Solution
Given:
A galvanometer with a resistor connected in parallel to it. Its full-scale deflection corresponds to a current of 10-mA. The current through the galvanometer is
Formula used:
Consider the circuit shown in Figure 1. The circuit consists of a galvanometer which can be used to measure small currents. The resistor connected in parallel with the galvanometer is called as “shunt resistor”. This resistor has a value less than the resistance of the galvanometer. It is converted to an ammeter using circuit.
In this circuit, the voltage across both the galvanometer and the shunt resistor are the same. The current through the galvanometer is given by,
From this the potential difference across the galvanometer can be calculated as,
Calculation:
Substituting the current through the galvanometer
Conclusion:
The potential difference across the galvanometer is 50 mV.
b.
The equivalent resistance value
b.
Answer to Problem 75A
The equivalent resistance of the circuit is
Explanation of Solution
Given:
A galvanometer with a resistor connected in parallel to it. The total current in the circuit is 10 mA.
Formula used:
Consider the circuit shown in Figure 1. In this circuit, since the voltage across both the galvanometer and the shunt resistor are the same, the value of total resistance can be calculated as,
The total current in the circuit I is the sum of current through the galvanometer
Calculation:
Substituting the potential difference obtained in the previous part of
Conclusion:
The equivalent resistance of the circuit is
c.
The shunt resistor value.
c.
Answer to Problem 75A
The resistance of the shunt resistor is
Explanation of Solution
Given:
A galvanometer with a resistor connected in parallel to it. The total current in the circuit is 10 mA.
Formula used:
Consider the circuit shown in Figure 1. In this circuit, since the voltage across both the galvanometer and the shunt resistor are the same, the value of shunt resistor can be calculated as,
The total current in the circuit I is the sum of current through the galvanometer
Calculation:
Substituting the total current through the circuit and the current through the galvanometer, the shunt current can be calculated as,
Substituting the potential difference obtained in the previous part of
Conclusion:
The resistance of the shunt resistor is
Chapter 24 Solutions
Glencoe Physics: Principles and Problems, Student Edition
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