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Parallel circuit, electric force, energy consumed, filament cost

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1. A parallel circuit consists of 10-, 20- and 30 ohm resistors connected across a 10-volt battery.
a) What is the total resistance of the circuit?
b) Determine the total current in the circuit.
c) What is the current moving through each resistor?
d) What is the voltage across each resistor?

2. Find the electric force between two charges, 5 micro-coulomb and 2 nano-coulomb, separated by a distance of 1 m.

3. Determine the energy consumed by a filament resistance of 110 ohms and 110-volt source over a period of 5 hours.

4. What is the total cost of operation for the above filament (Q3) if one unit of electricity costs 10 cents?

5. A transformer with 100 turns in primary coil is connected to a 110-V source. How many turns are required, in the secondary coil, to provide an output of 160 V?

6. Why does a pencil appear to be bent when it is partially submerged in a basin filled water. Try drawing the diagram and explain.

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The expert examines parallel circuit, electric force, energy consumed and filament costs.

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1. A parallel circuit consists of 10-, 20- and 30 ohm resistors connected across a 10-volt battery.
a) What is the total resistance of the circuit?
1/R = 1/10 + 1/20 + 1/30 = (6 + 3 + 2)/60 = 11/60

R = 60/11 = 5.455 ohm

b) Determine the total current in the circuit.
I = V/R = 10/5.455 = 1.833 ampere

c) What is the current moving through each resistor?

Current through 10 ohm resistor = 10/10 = 1
Current through 20 ohm resistor = 10/20 = 0.5
Current ...

Solution provided by:
Sandhya Sharma, MSc
Education
  • BSc, Meerut University
  • MSc, Meerut University
  • MPhil, Institute of Advanced Studies
  • MSc, AIT
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