(a)
the current in the circuit when four lamps are turned on.
(a)
Answer to Problem 77A
The total current passes through the circuit is
Explanation of Solution
Given:
Power of lamps is 60 W.
Resistance of each lamp is
Resistance of the heater is
The potential difference across the circuit is 120 V.
Formula used:
Equivalent resistance of a circuit containing resistor in parallel is found out using the following formula:
Here,
Current in a circuit is equal to the voltage across the circuit divided by the equivalent resistance of the circuit that is,
Calculation:
Since all the four lamps are having same resistance this can be written as follows
Here,
This gives,
Substitute
The current in the circuit is equal to the voltage across the circuit divided by the equivalent resistance of the circuit.
Substitute the values of
Conclusion:
Hence, the total current passes through the circuit is
(b)
the current in the circuit when all the lamps are turned on.
(b)
Answer to Problem 77A
The total current passes through the circuit is
Explanation of Solution
Given:
Power of lamps is 60 W.
Resistance of each lamp is
Resistance of the heater is
The potential difference across the circuit is 120 V.
Formula used:
Equivalent resistance of a circuit containing resistor in parallel is found out using the following formula:
Here,
Current in a circuit is equal to the voltage across the circuit divided by the equivalent resistance of the circuit that is,
Calculation:
The equivalent resistance of six equivalent lamps connected in parallel is equal to the resistance of each lamp divided by 6.
Substitute
The current in the circuit is equal to the voltage across the circuit divided by the equivalent resistance of the circuit.
Substitute the values of
Conclusion:
Hence, the total current passes through the circuit is
(c)
the current in the circuit when six lamps and the heater are operating.
(c)
Answer to Problem 77A
The total current passes through the circuit is
Explanation of Solution
Given:
Power of lamps is 60 W.
Resistance of each lamp is
Resistance of the heater is
The potential difference across the circuit is 120 V.
Formula used:
Equivalent resistance of a circuit containing resistor in parallel is found out using the following formula:
Here,
Current in a circuit is equal to the voltage across the circuit divided by the equivalent resistance of the circuit that is,
Calculation:
When six lamps and the water heater are connected in parallel , the equivalent resitance of the circuit is given by the following formula,
Here,
Substitute the value of
Take reciprocal of the above equation,
The current in the circuit is equal to the voltage across the circuit divided by the equivalent resistance of the circuit.
Substitute the values of
Conclusion:
Hence, the total current passes through the circuit is
(d)
whether 12 A fuse will get melted or not when all the lamps and the heater are on.
(d)
Answer to Problem 77A
The fuse won’t get melted.
Explanation of Solution
Given:
Total current when all the six lamps and the heater are turned on is
Current of fuse in the circuit is 12 A.
Calculation:
Since the current of fuse is less than the total current, so the fuse won’t get melted over time.
Conclusion:
Hence, the fuse won’t get melted.
Chapter 23 Solutions
Glencoe Physics: Principles and Problems, Student Edition
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