here are three resistors joined in series in a system having resistance equal to 10 Ω, 20 Ω and 30 Ω respectively. If the potential difference of the circuit is 240 V, find the total resistance and current through the circuit. [5]
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Answer:
4 ampere
Explanation:
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Given,
Three resistors joined in series in a system having a resistance equal to 10 Ω, 20 Ω, and 30 Ω respectively. The potential difference of the circuit is 240 V.
To find,
Total resistance and current through the circuit.
Solution,
- Three resistors 10 Ω, 20 Ω, and 30 Ω are joined in series respectively.
- To calculate overall resistance we can simply add the resistance of all the three resistors as they are in series.
- Therefore, the overall resistance of the circuit is 10 Ω + 20 Ω + 30 Ω.= 60 Ω.
According to Ohm's law, Current passing through a conductor between two points is directly proportional to the voltage or potential difference across the two points.
V = IR
Potential difference(V) = 240 V.
Overall resistance(R) = 60 Ω.
Current flowing through the circuit(I) = 240V/60Ω.
I = 4 Amperes.
Hence, the total resistance is 60 Ω, and the current flowing through the circuit is 4 Amperes.
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