A simple circuit contains a 10 V battery connected with wires to a small bulb. If the power dissipated by the bulb is 0.5 W, what is the resistance of the bulb?Remember to identify all data (givens and unknowns), list equations used, show all your work, and include units and the proper number of significant digits to receive full credit.
Question
A simple circuit contains a 10 V battery connected with wires to a small bulb. If the power dissipated by the bulb is 0.5 W, what is the resistance of the bulb?Remember to identify all data (givens and unknowns), list equations used, show all your work, and include units and the proper number of significant digits to receive full credit.
Solution
Given data: Voltage (V) = 10 V Power (P) = 0.5 W
Unknown: Resistance (R)
We can use Ohm's law and the power formula to solve this problem.
Ohm's law: V = I * R Power formula: P = I * V
First, we can rearrange the power formula to solve for current (I):
I = P / V
Substitute the given values:
I = 0.5 W / 10 V = 0.05 A
Next, we can substitute I into Ohm's law to solve for R:
R = V / I
Substitute the given values:
R = 10 V / 0.05 A = 200 Ω
So, the resistance of the bulb is 200 Ω.
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