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Electric Circuits Questions

Question 1

Each of the resistors in the circuit below has a resistance R Ohms. What is their total resistance (in terms of R).


Question 2

a)

Four identical resistors are connected to a  battery of emf 12V and zero internal resistance, as shown below.
 

  What voltage would a voltmeter read when connected across the following points?
          
i) A and D
ii) A and B
iii) A and C
iv) B and C

b)

A short circuit (a wire of very low resistance) is connected across points C and D, as shown below.
 

  What voltage would a voltmeter now read when connected across the following points?
 
i) A and D
ii) A and B
iii) A and C
iv) B and C

Question 3

a)

Calculate the total resistance of the four resistors in the circuit shown below.
 

b)

Calculate the total resistance of the same four resistors when a wire of very low resistance is connected across points X and Y.

Questions 4 to 11 are all about the circuit drawn below. The cell has zero internal resistance

Question 4  Calculate the total resistance of the circuit.

Question 5  Calculate the current I.

Question 6  Calculate the voltage across the points A and B.

Question 7  Calculate the current I1.

Question 8  How much charge will pass through the cell in 20s?

Question 9  How much energy will be converted to heat by the 6W resistor in 5 minutes?

Question 10  Calculate the power dissipated in the 8W resistor.

Question 11  Calculate the total amount of energy converted to heat by all the resistors in 10 minutes

 

Question 12

Calculate the maximum current which can be supplied by each of the following batteries
a) a car battery of emf = 13·2V and internal resistance r = 0·15W
b) a battery of eight cells each of emf = 1·6V and internal resistance r = 0·4W

Question 13

Two resistors, R1 = 3W and R2 = 6W, are connected in parallel with each other. They are then connected to a battery of emf, =10V and internal resistance r = 3W.
Calculate a) the current flowing through the battery 
  b) the current flowing through the 6W resistor.

Question 14

A battery of emf,  = 6V is connected to two 5W resistors in parallel with each other. If the current flowing through the battery is 2A, calculate the internal resistance of the battery.

Question 15

Three 12W resistors are to be connected to a battery of = 24V and r = 2W. Draw circuit diagrams showing how the resistors should be connected in order that the current flowing through the battery is
a) 4 b) 1·2 c) 0·63 d) 2·4A       

Question 16

This question is about rms currents and voltages.

For the circuit shown above calculate
a) the rms value of the current, I
b) the maximum value of the current
c) the mean power dissipated in R1
d) the rms value of the voltage across R2.

© David Hoult 2008