(English Medium) ICSE Class 10 - CISCE Question Bank Solutions

State a relation between electrical power, resistance and potential difference in an electrical circuit.

What is a resistance? Define it with respect to Ohm’s law,

State and explain the laws of resistance.

You are provided with three resistors of resistance 1.0 Ω, 2.0 Ω and 3.0 Ω How would you connect them to obtain the total effective resistance 1.5 Ω? Draw diagram of the arrangement and check it by calculations.

Calculate the equivalent resistance between the points A and B for the following combination of resistors:

Calculate the equivalent resistance between P and Q from the following diagram:

Six resistances are connected together as shown in the figure. Calculate the equivalent resistance between points A and B.

Four resistances of 2.0Ω each are joined end to end, to form a square ABCD. Calculate the equivalent resistance of the combination between any two adjacent comers.

Three resistors of 6Ω, 3Ω and 2Ω are connected together so that their total resistance is greater than 6Ω but less than 8Ω Draw a diagram to show this arrangement and calculate its total resistance.

In the circuit shown below, calculate the equivalent resistance between the points (i) A and B, (ii) C and D.

What is the equivalent resistance between the points X and Y for the given network?

Six equal resistors of 1 ohm each are connected to form the sides of a hexagon ABCDEF. Calculate the resistance offered by the combination if the current enters at A and leaves it at D.

Two lamps of resistance 30Ω and 20Ω respectively are connected in series in a 110V circuit. Calculate:
(i) the total resistance in the circuit
(ii) the current in the circuit, and
(iii) the voltage drop across each lamp.

2Ω resistor A, 1Ω resistor B and 4Ω resistor C are connected in parallel. The combination is connected across a 2V battery of negligible resistance. Draw the diagram of the arrangement and calculate:
(i) The current in each resistor A and C,
(ii) The current through battery.

Illustrate-combination of cells e.g., three cells, in series, explaining the combination briefly. Obtain an expression for current ‘i’ in the combination.

Illustrate-combination of cells e.g., three cells, in parallel, explaining the combination briefly. Obtain an expression for current ‘i’ in the combination.

Two resistors of 4Ω and 6Ω are connected in parallel to a cell to draw 0.5 A current from the cell.
Draw a labelled circuit diagram showing the above arrangement.

Two resistors of 4Ω and 6Ω are connected in parallel to a cell to draw 0.5 A current from the cell. Calculate the current in each resistor.

What should be the length of a nickel wire of area of cross-section 3 mm² used for making a rheostat of 750 ohm? (ρ of nickle = 0.069 Ohm mm²/m)

Calculate the value of the resistance which must be connected to a 15 ohm resistance to provide on effective resistance of 6 ohm.