Answer:
D
Step-by-step explanation:
Given
V = [tex]\sqrt{pr}[/tex] ← substitute V = 4 × 1.5 = 6 and r = 10
6 = [tex]\sqrt{10p}[/tex] ( square both sides )
6² = 10p
36 = 10p ( divide both sides by 10 )
3.6 = p
A toy train with a resistance of 10 ohms is powered by four 1.5-volt batteries then the power of the toy train would be 0.225 watts, therefore the correct option is C.
The rate of doing work is known as power. The Si unit of power is the watt.
Power =work/time
The mathematical expression for the electric power is as follows
P = VI
As we know from Ohm's law V=IR
By substituting the value of current I= V/R
P= V²/R
where P is the power
V is the voltage
I is current passing through the circuit
The formula for the voltage, V, of an electrical current is V=√pr, where P is the power measured in watts and R is the resistance measured in ohm
As given in the problem a toy train with a resistance of 10 ohms is powered by four 1.5-volt batteries the power of the toy train can be calculated with the help of the above-mentioned formula of the power
P= V²/R
P= (1.25²)/10
P= 0.225 watts
Thus the power of the toy train comes out to be 0.225 watts, therefore the correct answer is option C.
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