Numerical Problem[electricity]

Solve these numericals and comment your answer dear students...

Question 1
A wire of length 3 m and area of cross-section 1.7 × 10^-6 m² has a resistance 3 × 10^-2 ohm.


Question 2
We have four resistors A ,B ,C and D of resistance 4 ohm,8 ohm ,12 ohm and 24 ohm respectively?

Question 3
A 4Ω resistance wire is doubled on it. Calculate the new resistance of the wire.
Question 10.

Question 4
A student has a resistance wire of 1 ohm. If the length of this wire is 50 cm, to what length he should stretch it uniformly so as to obtain a wire of 4 Ω resistance? Justify your answer.
  
Question 5.
Calculate the resistivity of the material of a wire of length 1 m, radius 0.01 cm and of resistance 20 ohms.
   
Question 6
 Three resistors of 1 Ω, 2 Ω and 3 Ω are connected in parallel in a circuit. If 1 Ω resistor draw a current of 1 A, find the current through the other two resistors.

Question 7
Establish a relationship to determine the equivalent resistance R of a combination of three resistors having resistance R₁, R₂ and R₃ connected in series.

[1]- Calculate the equivalent resistance of the combination of three resistors of 2 Ω, 3 Ω and 6 Ω joined in parallel.

Question 8
Calculate the amount of work done in shifting a charge of 2 coulombs from a point A to B having potentials 10 V and 5V respectively.

 Question 9
What would be the resistance of a resistor if the current flowing through it is 0.15 A when the potential difference across it is 1.05 V?
  
Question 10
A copper wire has a diameter 0.5 mm and resistivity 1.6  10^-8ohm m.
(i) What will be the length of this wire to make the resistance of 12 Ohm.

(ii) How much will be the resistance of another copper wire of same length but half the diameter?

Question 11
A wire of uniform cross-section and length l has a resistance of 4 ohm. The wire is cut into four equal pieces. each piece is then stretched to length ‘l’. Thereafter, the four wires are joined in parallel. Calculate the net resistance.

Question 12
Calculate the electrical energy produced in 5 minutes when a current of 2 A is sent through a conductor by a potential difference of 500 volts.

Question 13
An electric bulb draws a current of 0.2 A when it operates at 220 V. Calculate the amount of electric charge flowing through it in 1 h.

Question 14
Resistors are given as R₁ = 10 ohm, R₂ = 20 ohm, and R₃ = 30 ohm. Calculate the effective resistance when they are connected in series. Also calculate the current flowing when the combination is connected to a 6 V battery.

Question 15
The filament of an electric lamp, which draws a current of 0.2 A, is used for 5 hours. Calculate the amount of charge flowing through the circuit.