Question

Select the correct answer.

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 ohms.

A toy train with a resistance of 10 ohms is powered by four 1.5-volt batteries. What is the power of the toy train?
( ALL I KNOW IS THAT ITS NOT B )
A.
16.7 watts
B.
0.60 watts
C.
0.225 watts
D.
3.6 watts

Answer 1

Using the correct power formula P = V^2 / R and the total voltage supplied by four 1.5-volt batteries, we calculate the power of the toy train as 3.6 watts.

Step-by-step explanation:

The formula given in the question, V = √p*r, is incorrect for calculating voltage. Instead, the correct formula for power in terms of voltage (V) and resistance (R) is P = V2 / R. To find the power of the toy train powered by four 1.5-volt batteries, we first determine the total voltage supplied by the batteries, which is 4 * 1.5 V = 6 V. We then use the formula for power, which leads us to calculate P = V2 / R = 62 / 10 ohms = 36 / 10 ohms = 3.6 watts. Therefore, the correct answer is D. 3.6 watts.

Answer 2

D

Step-by-step explanation:

Given

V =
`√(pr)` ← substitute V = 4 × 1.5 = 6 and r = 10

6 =
`√(10p)` ( square both sides )

6² = 10p

36 = 10p ( divide both sides by 10 )

3.6 = p