The diagram below shows part of a circuit:

If this arrangement of three resistors was to be replaced by a single resistor, its resistance should be:

(a) 9 Ω
(b) 4 Ω
(c) 6 Ω
(d) 18 Ω

Open in App

Solution

(a) 9 Ώ
The two resistors of 6 Ώ are connected in parallel with each other. So, their net resistance 3 Ώ is connected in series with a resistance of 6 Ώ. So, the net resistance of the complete arrangement is 9 Ω.

Suggest Corrections

Similar questions

Three resistors each of $2 Ω$ are connected together so that their total resistance is $3 Ω$ . Draw a diagram to show this arrangement and check it by calculation.

Q. The circuit diagram below shows a

6.0 V

battery in a circuit with three resistors, labeled

1, 2,

and

3

.
If each resistor has a resistance of

6.0 o h m s

what is the rate at which energy is used by resistor

2

Q. In the figure below, two resistors are kept in a single circuit. The diagram shows connection among the resistors.

Q. A student was given three resistors of 2 ohms, 3 ohms and 5 ohms by his teacher. The teacher asked him to connect these three resistors in such a way so as to obtain the minimum resistance.
(a) In what way should the student connect the resistors?
(b) Draw a diagram of the combination of resistors.

Q. A student found that when a resistor of resistance

3 Ω

was joined with 3 V battery as per figure shown below, the current flowing through it was 1 A. He then joined another resistor of resistance

6 Ω

in parallel with a resistor of resistance

3 Ω

. The reading in the ammeter will now be:

(a) 9 A
(b) 1.5 A
(c) 1 A
(d) 6 A

Join BYJU'S Learning Program

The diagram below shows part of a circuit: If this arrangement of three resistors was to be replaced by a single resistor, its resistance should be: (a) 9 Ω (b) 4 Ω (c) 6 Ω (d) 18 Ω

(a) 9 Ώ The two resistors of 6 Ώ are connected in parallel with each other. So, their net resistance 3 Ώ is connected in series with a resistance of 6 Ώ. So, the net resistance of the complete arrangement is 9 Ω.

The diagram below shows part of a circuit:

If this arrangement of three resistors was to be replaced by a single resistor, its resistance should be:

(a) 9 Ω
(b) 4 Ω
(c) 6 Ω
(d) 18 Ω

(a) 9 Ώ
The two resistors of 6 Ώ are connected in parallel with each other. So, their net resistance 3 Ώ is connected in series with a resistance of 6 Ώ. So, the net resistance of the complete arrangement is 9 Ω.