Define one ohm. A resistance of 6 ohms is connected in series with another resistance of 4 ohms.
A potential difference of 20 volts is applied across the combination.
Calculate the current through the circuit and potential difference across the 6 ohm resistance.

Open in App

Solution

1. 1 ohm is the resistance of a conductor, for which a current of 1 A flows through it on application of 1 V of potential difference across it.

2. We use proper symbols for electrical components.

Potential difference, $V = 20 V$
Total circuit resistance:
$R = R_{1} + R_{2}$
$R = 10 Ω$

From Ohm's law,
$I = \frac{V}{R}$
$I = \frac{20 V}{10 Ω} = 2 A$
This current will flow through each of the resistors.

Potential difference across $6 Ω$ resistance can be found by applying ohm's law for it.
$V_{1} = I R_{1}$
$V_{1} = 2 \times 6 = 12 V$

Suggest Corrections

Similar questions

Define one ohm. A resistance of 6 ohms is connected in series with another resistance of 4 ohms.
A potential difference of 20 volts is applied across the combination.
Calculate the current through the circuit and potential difference across the 6 ohm resistance. [5 MARKS]

Q. A resistor of 4-ohm resistance and an electric lamp of 20-ohm resistance are connected in series across a 6-volt battery. Draw a labelled circuit diagram by using the symbols for ohm and volt. Calculate:
(a) total resistance of the circuit.
(b) current flowing through the circuit.
(c) potential difference across the resistor.
(d) potential difference across the electric lamp.

Q. An electric lamp whose resistance is 10 ohm and a conductor of 2 ohm resistance are connected in series with a 6 V battery. The total current through the circuit and the potential difference across the electric lamp are

Q. A cell of negligible resistance and emf

2

volt is connected to a series combination of

2, 3

and

5

ohm. The potential difference in volts between the terminals of

3

-ohm resistance will be:

Join BYJU'S Learning Program

Define one ohm. A resistance of 6 ohms is connected in series with another resistance of 4 ohms. A potential difference of 20 volts is applied across the combination. Calculate the current through the circuit and potential difference across the 6 ohm resistance.

Define one ohm. A resistance of 6 ohms is connected in series with another resistance of 4 ohms.
A potential difference of 20 volts is applied across the combination.
Calculate the current through the circuit and potential difference across the 6 ohm resistance.