Concept explainers
The rear window defrosters on automobiles are made up of several strips of heater wire connected in parallel. Consider the case of four wires, each of
a. What is the equivalent resistance of the four wires? (Consider the wires to be two groups of two.)
b. What is the total current drawn?
(a)
The equivalent resistance of the four wires.
The equivalent resistance of the of the heater is
Given info:
Resistance of each wire of the circuit,
Voltage of the battery,
Formula Used:
Write the expression to calculate the equivalent resistance of the one group of resistance in heater.
Write the expression to calculate the equivalent resistance of the second group of resistance in heater.
Write the expression to calculate the equivalent resistance of the both groups of heater.
Calculation:
Substitute given values in the above expression.
Substitute given values in the above expression.
Substitute given values in the above expression.
Conclusion:
The equivalent resistance of the of the heater is
(b)
The total current drawn by the heater.
The total current drawn by the heater is
Given info:
Voltage of the battery,
Equivalent resistance of the heater,
Formula Used:
Write the expression to calculate the current drawn by the heater.
Calculation:
Substitute given values in the above expression.
Conclusion:
The total current drawn by the heater is
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