The battery had a power output of 230 mW when the resistance of the variable resistor was 36 Ω - AQA - GCSE Physics - Question 7 - 2021 - Paper 1
Question 7
The battery had a power output of 230 mW when the resistance of the variable resistor was 36 Ω.
Determine the potential difference across the battery.
Potential di... show full transcript
Worked Solution & Example Answer:The battery had a power output of 230 mW when the resistance of the variable resistor was 36 Ω - AQA - GCSE Physics - Question 7 - 2021 - Paper 1
Step 1
Determine the Current from Power
96%
114 rated
Only available for registered users.
Sign up now to view full answer, or log in if you already have an account!
Answer
To find the current, we use the formula for power:
P=IV
Where:
P=230 mW=0.230 W,
I is the current in amps,
V is the potential difference.
Rearranging for current gives:
I=VP
Using the resistance value of 36 Ω, we can express the potential difference as:
V=I×R
Substituting the current back into the equation gives:
V=0.230 W×I1
Step 2
Calculate the Potential Difference
99%
104 rated
Only available for registered users.
Sign up now to view full answer, or log in if you already have an account!
Answer
Substituting the current from Ohm's law:
V=I×36 Ω
We previously found that:
I=0.08 A
Therefore,
V=0.08 A×36 Ω=2.88extV
Thus, the potential difference across the battery is approximately 2.88 V.