hw - 4 begin date: 9/11/2025 12:01:00 am due date: 9/28/2025 11:00:00 pm problem 10: (6% of assignment…
hw - 4 begin date: 9/11/2025 12:01:00 am due date: 9/28/2025 11:00:00 pm problem 10: (6% of assignment value) a car battery with a 12 v emf and an internal resistance of 0.058 ω is being charged with a current of 68 a. part (a) what is the potential difference, δv charging, in volts, across its terminals when charging? δv charging =
Answer
Explanation:
Step1: Recall the formula for terminal - voltage during charging
The formula for the potential difference $\Delta V$ across the terminals of a battery during charging is $\Delta V=\mathcal{E}+Ir$, where $\mathcal{E}$ is the electromotive force (emf) of the battery, $I$ is the charging current, and $r$ is the internal resistance of the battery.
Step2: Identify the given values
We are given that $\mathcal{E} = 12\ V$, $I = 68\ A$, and $r=0.058\ \Omega$.
Step3: Substitute the values into the formula
$\Delta V=12 + 68\times0.058$. First, calculate $68\times0.058 = 3.944$. Then, $\Delta V=12 + 3.944=15.944\ V$.
Answer:
$15.944$