if two resistors of resistance 5watt and 10watt are connected to a battery of potential difference 6V then determine the value of current when they are consumed in a. series b. parallel?
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Answer:
In Series:
The resistors are 5 ohms and 10 ohms.
Potential difference = 6 V
Equivalent resistance:
= R1 + R2
= 5 ohms + 10 ohms
= 15 ohms
Now by using ohm's law, Finding the current flowing through the wire:
⇒ V = IR
⇒ 6V = I × 15 ohms
⇒ I = 0.4 ohms
In Parallel:
The resistors are 5 ohms and 10 ohms.
Potential difference = 6 V
Equivalent resistance:
= R1.R2 / R1 + R2
= 5 ohms × 10 ohms / 5 ohms + 10 ohms
= 10/3 ohms
Now by using ohm's law, Finding the current flowing through the wire::
⇒ V = IR
⇒ 6V = I × 10/3 ohms
⇒ I = 1.8 ohms
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