To calculate: The current in the given circuit. Also the energy used by the hair dryer for the given time.
Answer to Problem 9STP
The current through the circuit is
The energy used by the hair dryer is
Explanation of Solution
Given:
A DC generator circuit with a hair dryer as load with resistance
Formula used:
Given the resistance of the circuit and supply voltage, the current can be calculated using the Ohm’s law as,
The energy consumed by the resistance, E can be expressed in terms of the power dissipation and the time for which power is drawn, t, as
Here, the power drawn by the resistance is a function of current I and voltage drop across it, V, which can be expressed as,
Calculation:
Consider the circuit shown in Figure 1. Here, the DC generator is supplying a voltage of 120 V and is loaded with a hair dryer of 8.5 Ω resistance. The current through the dryer can be calculated by using the relation in (1), as
Figure 1
Substituting the voltage and current value, the power can be obtained as,
Now, substituting the value of power and time, the energy can be calculated as,
Conclusion:
Therefore, the current through the circuit is 14.12 A and the energy absorbed by the hair dryer is
Chapter 22 Solutions
Glencoe Physics: Principles and Problems, Student Edition
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