(a)
the resistance of the adjustable resistor.
(a)
Answer to Problem 97A
The resistance of the variable resistor is
Explanation of Solution
Given:
Voltage of the battery is
Deflection of the ammeter is
Formula used:
Resistance of the adjustable resistor is equal to the voltage applied to it divided by the current in it that is,
Here,
Calculation:
Substitute the values of
Conclusion:
Hence, the resistance of the variable resistor is
(b)
the resistance that would be produced a current of half scale, quarter scale and three quarter scale.
(b)
Answer to Problem 97A
The resistance of the external resistor which when connected to the ohmmeter giving the half scale current, quarter scale current and three quarter scale current are
Explanation of Solution
Given:
Voltage of the battery is
Deflection of the ammeter is
Half scale current is 0.50 mA.
Quarter scale current is 0.25 mA.
Three quarter scale current is 0.25 mA.
Formula used:
In series connection of two resistors, the effective resistance is equal to the sum of the resistances of the two resistors:
Here,
Calculation:
But effective resistance in the circuit is given by
Use the expression for the expression for the effective resistance from equation (1), to replace the left hand side of this equation,
Rearrange the equation (3),
For half scale current,
To find resistance of the external resistor this gives the quarter scale deflection current or 0.50 mA.
Substitute the value of
Therefore, the resistance of the external resistor which when connected to the ohmmeter giving the half scale current is
For quarter scale current,
To find resistance of the external resistor this gives the quarter scale deflection current or 0.25 mA.
Substitute the value of
Therefore, the resistance of the external resistor which when connected to the ohmmeter giving the quarter scale current is
For three quarter scale current,
To find resistance of the external resistor this gives the quarter scale deflection current or 0.75 mA.
Substitute the value of
Therefore, the resistance of the external resistor which when connected to the ohmmeter giving the three quarter scale current is
Conclusion:
Hence, the resistance of the external resistor which when connected to the ohmmeter giving the half scale current, quarter scale current and three quarter scale current are
Chapter 23 Solutions
Glencoe Physics: Principles and Problems, Student Edition
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