In the circuit diagram given below five resistances of 10 Ω, 40 Ω, 3

1.	In the circuit diagram given below five resistances of 10 Ω, 40 Ω, 30 Ω, 20 Ω and 60 Ω are connected as shown to a 12 V battery. Calculate : (a) total resistance in the circuit.(b) total current flowing in the circuit.
Answer» Solution : (i) Equivalent resistance of 10 ohm and 40 ohm resistances (connected in paralel) is R₁, given as 1/R₁ = 1/10 + 1/40 = 5/40 R₁= 10 ohm Equivalent resistance of 30 ohm, 20ohm and 60 ohm resistance (connected in parallel) is R2, given as: 1/R₂ = 1/30 + 1/20 + 1/60 = 6/60 R₂ = 10ohm R₁ and R₂ are connected in series. Therefore, Total resistance in the circuit is R = R₁ +R₂ = 8 + 10 = 18 ohm (ii) Total current flowing in the circuit, I =V/R =12/18 = 0.67 A

In the circuit diagram given below five resistances of 10 Ω, 40 Ω, 30 Ω, 20 Ω and 60 Ω are connected as shown to a 12 V battery. Calculate : (a) total resistance in the circuit.(b) total current flowing in the circuit.

Answer»

Solution :

(i) Equivalent resistance of 10 ohm and 40 ohm resistances (connected in paralel) is R₁, given as

1/R₁ = 1/10 + 1/40 = 5/40

R₁= 10 ohm

Equivalent resistance of 30 ohm, 20ohm and 60 ohm resistance (connected in parallel) is R2, given as:

1/R₂ = 1/30 + 1/20 + 1/60 = 6/60

R₂ = 10ohm

R₁ and R₂ are connected in series.

Therefore, Total resistance in the circuit is R = R₁ +R₂ = 8 + 10 = 18 ohm

(ii) Total current flowing in the circuit, I =V/R =12/18 = 0.67 A

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In the circuit diagram given below five resistances of 10 Ω, 40 Ω, 30 Ω, 20 Ω and 60 Ω are connected as shown to a 12 V battery. Calculate : (a) total resistance in the circuit.(b) total current flowing in the circuit.

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