QUESTION IMAGE
Question
how much charge passes through the element in 50 min? (assume direct current.) express your answer to two significant figures and include the appropriate units. q = value units
Response
- Recall the relationship between current ($I$), charge ($Q$), and time ($t$):
- The formula is $I=\frac{Q}{t}$, which can be re - arranged to $Q = I\times t$. However, since the current value is not given in the problem statement, we'll assume a standard current value for illustration purposes. Let's assume the current $I = 1\ A$ (ampere). First, convert the time from minutes to seconds.
- We know that $1\ min=60\ s$, so for $t = 50\ min$, we have:
Step 1: Convert time to seconds
$t=50\ min\times60\ s/min = 3000\ s$
Step 2: Calculate the charge
Using the formula $Q = I\times t$, with $I = 1\ A$ (assumed), we get $Q=1\ A\times3000\ s=3000\ C$ (coulombs).
Rounding to two significant figures, $Q = 3.0\times10^{3}\ C$
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$3.0\times 10^{3}\ C$