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(c) Calculate the charge that flows through the cell in 1 minute. Each filament lamp has a power of 3 W and a resistance of 12Omega Write any equations that you use. Give the unit.

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(c)
Calculate the charge that flows through the cell in 1 minute.
Each filament lamp has a power of 3 W and a resistance of
12Omega 
Write any equations that you use.
Give the unit.

(c) Calculate the charge that flows through the cell in 1 minute. Each filament lamp has a power of 3 W and a resistance of 12Omega Write any equations that you use. Give the unit.

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EllieElite · Tutor for 8 years

Answer

## Step 1: <br />### \( P = I^2R \)<br /><br />## Step 2: <br />### \( I = \sqrt{\frac{P}{R}} \)<br /><br />## Step 3: <br />### \( I = \sqrt{\frac{3W}{12\Omega}} = 0.5A \)<br /><br />## Step 4: <br />### \( Q = It \)<br /><br />## Step 5: <br />### \( Q = 0.5A * 60s = 30C \)<br /><br />So, the charge that flows through the cell in 1 minute is 30 Coulombs (C).

Explain

## Step 1: <br />First, we need to calculate the current flowing through the filament lamp. We can use the formula \( P = I^2R \), where \( P \) is power, \( I \) is current, and \( R \) is resistance. <br /><br />## Step 2: <br />Rearrange the formula to solve for \( I \). The rearranged formula is \( I = \sqrt{\frac{P}{R}} \).<br /><br />## Step 3: <br />Substitute the given values into the formula. Here, \( P = 3W \) and \( R = 12\Omega \).<br /><br />## Step 4: <br />After calculating the current, we can calculate the charge that flows through the cell in 1 minute. We use the formula \( Q = It \), where \( Q \) is the total charge, \( I \) is current, and \( t \) is the time. Here, time \( t = 1 \) minute = 60 seconds (1 minute is 60 seconds).<br /><br />## Step 5: <br />Substitute the calculated current and given time into the formula to find \( Q \).
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