a.
Change inequivalent resistance of the circuit with three resistors in series, when one of the resistance value is changed.
a.
Answer to Problem 4PP
The equivalent resistance of the circuit increases.
Explanation of Solution
Given:
Three resistors are connected in series across a 9-V battery and the resistance of one of the resistors is increased.
Formula used:
For a set of three resistors
Figure 1
Calculation:
Now, when the resistance of one of the resistors, say R1 is increased by a value
Conclusion:
The equivalent resistance of the series circuit increases when one of the resistance is increased.
b.
The change in current in the circuit with a given change in resistance in a series circuit
b.
Answer to Problem 4PP
The current through the circuit decreases with increase in resistance of one of the resistors.
Explanation of Solution
Given:
Three resistors are connected in series across a 9-V battery and the resistance of one of the resistors is increased.
Formula used:
For the resistance of the circuit and supply voltage, the current can be calculated using the Ohm’s law as,
Calculation:
From the above relation, it is evident that current is inversely proportional to resistance.
In the initial case, the current in the circuit is given by,
Since the equivalent resistance has increased due to increase in one of the resistance values, the current decreases accordingly given by,
Conclusion:
The current through the series circuit decrease when one of the resistances is increased.
c.
To identify: Whether there will be change in the supply voltage for the chnage in resistance.
c.
Answer to Problem 4PP
The supply voltage remains unchanged at the value of 9-V
Explanation of Solution
Given:
Three resistors are connected in series across a 9-V battery and the resistance of one of the resistors is increased.
Formula used:
The supply voltage of the circuit is expressed as,
Calculation:
When one of the resistance values is increased, the current decreases accordingly. This increases the voltage drop across that particular resistor. But, the current in other resistors increases proportionately so that the total voltage remains constant, given by,
This implies that, though the individual voltage and current distribution changes, the total voltage remains same.
Hence, the supply voltage remains unchanged.
Conclusion:
The supply voltage remains unchanged at 9-V even when resistance of one of the resistance value is increased
Chapter 23 Solutions
Glencoe Physics: Principles and Problems, Student Edition
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