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(a) Three resistors R1, R2 and R3 are connected in parallel and the combination is connected to a battery, an ammeter, a voltmeter and a key. Draw suitable circuit diagram to show the arrangement of these circuit components along with the direction of current flowing.

(b) Calculate the equivalent resistance of the following network :

(a) Three resistors R1, R2 and R3 are connected in parallel and the combination is connected to a battery, an ammeter, a voltmeter and a key. Draw suitable circuit diagram to show the arrangement of these circuit components along with the direction of current flowing. (b) Calculate the equivalent resistance of the following network : CBSE 2022 Term 2 Science Class 10 Question Paper Solved.

Current Electricity

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Answer

(a) Circuit diagram showing the arrangement:

(a) Three resistors R1, R2 and R3 are connected in parallel and the combination is connected to a battery, an ammeter, a voltmeter and a key. Draw suitable circuit diagram to show the arrangement of these circuit components along with the direction of current flowing. (b) Calculate the equivalent resistance of the following network : CBSE 2022 Term 2 Science Class 10 Question Paper Solved.

(b) We can see from figure that resistances R2 and R3 each of 10 Ω are connected in parallel. So, the equivalent resistance Rp is:

1Rp=1R2+R3=110+110⇒1Rp=210⇒1Rp=15⇒Rp=5Ω\dfrac{1}{Rp} = \dfrac{1}{R2 + R3 } = \dfrac{1}{10} + \dfrac{1}{10} \\[0.5em] \Rightarrow \dfrac{1}{Rp} = \dfrac{2}{10} \\[0.5em] \Rightarrow \dfrac{1}{Rp} = \dfrac{1}{5} \\[0.5em] \Rightarrow Rp = 5 Ω

Now, R1, Rp and R4 (each of 5 Ω ) are connected in series

∴ Requi = 5 + 5 + 5 = 15 Ω

So, equivalent resistance of the circuit = 15 Ω.

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