Final answer:
To calculate the resistance of a microscope bulb filament, you use the power formula P = V^2/R and rearrange it to find R = V^2/P. With the values 50 W for power and 12.0 V for voltage, the resistance calculates to 2.88 ohms.
Step-by-step explanation:
To find the resistance of a microscope bulb filament, we can use the formula for electric power, P = V2/R, where P is the power, V is the voltage, and R is the resistance. Given the power P is 50 W and the voltage V is 12.0 V, we can rearrange the formula to solve for R:
R = V2/P
By substituting the values:
R = (12.0 V)2/50 W
R = 144.0 V2/50 W
R = 2.88 Ω
Therefore, the resistance of the microscope bulb filament is 2.88 Ω.