a.
Theequivalent resistance of the circuit.
a.
Answer to Problem 12PP
The equivalent resistance in the circuit is
Explanation of Solution
Given:
Three resistors of value
Formula used:
For a set of resistors
Calculation Consider the circuit shown in Figure 1. Here, the generator is supplying a voltage of 12-V and is loaded with three resistances in series,
Figure 1
The equivalent resistance can be calculated using (1) as,
Conclusion:
The equivalent resistance of the circuit is
b.
The current in the circuit.
b.
Answer to Problem 12PP
The current through the circuit is
Explanation of Solution
Given:
Three resistors of value
Formula used:
For the resistance of the circuit and supply voltage, the current can be calculated using the Ohm’s law as,
Calculation:
The current flowing through the circuit can be calculated by using the relation in (2), by substituting the total resistance obtained in the part (a) as
Conclusion:
The current through the circuit is 1.01 mA.
c.
Thetotal potential difference across the three resistors.
c.
Answer to Problem 12PP
The total potential difference across the three resistors is
The potential differences across the three resistors are
Explanation of Solution
Given:
Three resistors of value
Formula used:
The total potential difference across the three resistors is the supply voltage itself. It can also be expressed as the product of the current through the circuit and the total resistance given by,
Calculation The total potential difference across the resistors can be expressed using (1) as,
The individual potential difference across the resistors can be calculated using (1) as follows.
Conclusion:
Therefore, the total potential difference across the three resistors is
The potential differences across the three resistors are
Chapter 23 Solutions
Glencoe Physics: Principles and Problems, Student Edition
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