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If a current of #5 A# passing through a circuit generates #100 W# of power, what is the resistance of the circuit?

Answer 1

Benjamin Asiedu

#4 Omega#

We know, powe #P# generated across a resistor of resistance #R# due to current flowing #I# are related as,

#P=I^2 R#

given, #I=5A,P=100W#

So, #R=P/I^2=100/5^2=100/25=4 Omega#

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Answer 2

Xavier Adame

To find the resistance of the circuit, we use Ohm's Law, which states that resistance (R) is equal to voltage (V) divided by current (I). Additionally, we can use the formula for power (P), which states that power is equal to the product of voltage and current.

Given:

Current (I) = 5 A
Power (P) = 100 W

First, rearrange the power formula to solve for voltage: Power (P) = Voltage (V) * Current (I) Voltage (V) = Power (P) / Current (I)

Now, substitute the given values: Voltage (V) = 100 W / 5 A Voltage (V) = 20 V

Now, use Ohm's Law to find the resistance: Resistance (R) = Voltage (V) / Current (I)

Substitute the calculated voltage and given current: Resistance (R) = 20 V / 5 A Resistance (R) = 4 ohms

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.