Which of the following represents the maximum value of the magnetic field at a distance of 2.5 m from a 100 W light bulb?
A) 0.10 μT
B) 0.40 μT
C) 0.50 μT
D) 0.60 μT
E) 0.80 μT

Question

Quizplus · Accepted Answer

The magnetic field at a distance r from a current-carrying wire is given by:$$B = \frac{\mu_0 I}{2\pi r}$$where:* B is the magnetic field in teslas (T)* μ0 is the permeability of free space (4π × 10^-7 T·m/A)* I is the current in amperes (A)* r is the distance from the wire in meters (m)In this problem, we are given that the power of the light bulb is 100 W and the distance from the light bulb is 2.5 m. We can use the power equation:$$P = IV$$where:* P is the power in watts (W)* I is the current in amperes (A)* V is the voltage in volts (V)We can rearrange this equation to solve for the current:$$I = \frac{P}{V}$$We are not given the voltage in this problem, but we can assume that it is 120 V, which is a common voltage for household appliances. Substituting this into the equation, we get:$$I = \frac{100 W}{120 V} = 0.83 A$$Now we can substitute this into the equation for the magnetic field:$$B = \frac{\mu_0 I}{2\pi r} = \frac{(4\pi 	imes 10^{-7} T\cdot m/A)(0.83 A)}{2\pi (2.5 m)} = 0.10 \mu T$$Therefore, the maximum value of the magnetic field at a distance of 2.5 m from a 100 W light bulb is 0.10 μT.

Which of the Following Represents the Maximum Value of the Magnetic