A schematic diagram is shown where a circuit consisting of a battery of 3 cells of 2 V each, a combination of three resistors of 10 Ω, 20 Ω and 30 Ω connected in parallel, a plug key and an ammeter, all connected in series. Use this circuit to find the value of the following :

(a) Current through each resistor
(b) Total current in the circuit
(c) Total effective resistance of the circuit.
[5 marks]

Open in App

Solution

The circuit diagram is as shown below.
(a) Given, voltage of the battery = 2V + 2V + 2V = 6 V
Current through 10 Ω resistance,
$I_{10} = V / R = 6 / 10 = 0.6 A$
Current through 20 Ω resistance,
$I_{20} = V / R = 6 / 20 = 0.3 A$
Current through 30 Ω resistance,
$I_{20} = V / R = 6 / 30 = 0.2 A$
[2 marks]
(b) Total current in the circuit, $I = I_{10} + I_{20} + I_{30}$
= 0.6 + 0.3 + 0.2 = 1.1 A
[1 mark]
(c) Total resistance of the circuit - As the resistors are connected in parallel,
$1 / R_{p} = 1 / 10 + 1 / 20 + 1 / 30$
$1 / R_{p} = 60 / 11 = 5.45 Ω$
[2 marks]

Suggest Corrections

Similar questions

Q. Draw a schematic diagram of a circuit consisting of a battery of three cells of 2 V each, a

5 Ω

resistor, a

8 Ω

resistor, and a

12 Ω

resistor, and a plug key, all connected in series.

Q. (a ) Draw the circuit consisting of a battery of five

2 V

cells,

5 o h m

resistor,

10 o h m

resistor,

15 o h m

resistor and a plug key. All connected in series
(b) Calculate the current passing through the above circuit when key is closed.

Q. Draw the schematic diagram of an electric circuit consisting of a battery of two cells of

1.5 V

each, three resistance of

5

ohm,

10

ohm and

15

ohm respectively and a plug key, all connected in series.

Question $1$ : Draw a schematic diagram of a circuit consisting of a battery of three cells of $2 V$ each, a $5 Ω$ resistor, an $8 Ω$ resistor, and a $12 Ω$ resistor, and a plug key, all connected in series.

Redraw the circuit of Question $1$ , putting in an ammeter to measure the current through the resistors and a voltmeter to measure the potential difference across the $12 Ω$ resistor. What would be the readings in the ammeter and the voltmeter?

Resistors $R_{1}$ , $R_{2}$ and $R_{3}$ having values 5 $Ω$ , 10 $Ω$ , and 30 $Ω$ respectively are connected in parallel across a battery of 12V. Calculate [3 MARKS]

(a) the current through each resistor

(b) the total current in the circuit and

Join BYJU'S Learning Program