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Five resistances of 10 ohms, 40 ohms, 30 ohms, 20 ohms, and 60 ohms are connected to a 12 volt battery in the circuit diagram below. Calculate: a) the circuit’s total resistance b) the total current in the circuit
Five resistances of 10 ohms, 40 ohms, 30 ohms, 20 ohms, and 60 ohms are connected to a 12 volt battery in the circuit diagram below. Calculate: a) the circuit’s total resistance b) the total current in the circuit
CBSE | Class 10 | Electricity | Lakhmir Singh | Physics
Five resistances of 10 ohms, 40 ohms, 30 ohms, 20 ohms, and 60 ohms are connected to a 12 volt battery in the circuit diagram below. Calculate: a) the circuit’s total resistance b) the total current in the circuit

 

Answer:

 

a) R1 represents the equivalent resistance of 10 and 40 resistances:

 

1/R1 = 1/10 + 1/40 = 5/40

 

R1 = 8 Ω

 

R2 is the equivalent resistance of 30 ohms, 20 ohms, and 60 ohms.

 

1/R2 = 1/30 + 1/20 + 1/60 = 6/60

 

R2 = 10 Ω

 

R1 and R2 are linked together in a series.

 

Therefore, total resistance in the circuit, R = R1 + R2 = 8 + 10 = 18 Ω

 

b) Total circuit current, I = V/R = 12/18 = 0.67 amp

i

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