The Power In An Electrical Circuit Is Given By The Equation P=I^2r, Where / Is The Current Flowing Through The Circuit And R Is The Resistance Of The
the power in an electrical circuit is given by the equation P=I^2R, where / is the current flowing through the circuit and R is the resistance of the circuit. what is the power in a circuit that has a current of 12 amps and a resistance of 100 ohms?
Before we solve the problem, let us discuss what these certain terms mean.
CURRENT is the rate of flow of electrons. Thus, in another manner of saying, it is the charge per unit time. Often in electrical we have its formula as
I = Q / t
where I is the current;
Q is the charge in Coulombs; and
t is the time in seconds
The most known formula used in electrical is the relationship between the current, resistance and voltage, described in the formula
I = V / R
Where I is current;
V is voltage; and
R is resistance
RESISTANCE is the one which opposes the flow of current. Thus, if in a circuit, the resistance is high, then current would most likely be of lower value due to resistance. In short, they are inversely proportional.
Moreover, if we are to solve for the power, as stated above the formula is
P = I^2R
where P is power in watts;
I is current in Amperes; and
R is resistance in Ohms
The unit of power is "WATT" named after the Scottish inventor James Watt. This unit is a derived unit which is also equivalent to 1 Joule per second.
Solving the value of the power in the problem, all we have to do is substitute the values to the equation.
P = (I^2)(R)
P = (12 amps ^2) (100 Ohms)
P = (144 amps^2)(100 Ohms)
P = 14,400 Watts
Therefore, the electrical power is 14,400 watts.
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