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A lightning bolt with 10 kA strikes an object for 15micro s.
How much charge is deposited on the object?

To solve the problem of finding the power absorbed by each of the elements in the circuit, we can use the following formula for power:

\[
P = VI
\]

Where:
- \( P \) is the power.
- \( V \) is the voltage across the element.
- \( I \) is the current through the element.

Let's calculate the power absorbed by each element labeled \( p_1 \), \( p_2 \), \( p_3 \), \( p_4 \), and \( p_5 \):

### 1. Power absorbed by \( p_1 \)
- Voltage (\( V_1 \)) = 30 V
- Current (\( I_1 \)) = 10 A

\[
P_1 = V_1 \times I_1 = 30 \times 10 = 300 \text{ W}
\]

### 2. Power absorbed by \( p_2 \)
- Voltage (\( V_2 \)) = 10 V
- Current (\( I_2 \)) = 10 A

\[
P_2 = V_2 \times I_2 = 10 \times 10 = 100 \text{ W}
\]

### 3. Power absorbed by \( p_3 \)
- Voltage (\( V_3 \)) = 20 V
- Current (\( I_3 \)) = 14 A

\[
P_3 = V_3 \times I_3 = 20 \times 14 = 280 \text{ W}
\]

### 4. Power absorbed by \( p_4 \)
- Voltage (\( V_4 \)) = 8 V
- Current (\( I_4 \)) = 4 A

\[
P_4 = V_4 \times I_4 = 8 \times 4 = 32 \text{ W}
\]

### 5. Power absorbed by \( p_5 \)
- Voltage (\( V_5 \)) = 12 V
- Current (\( I_5 \)) = 0.4 A

\[
P_5 = V_5 \times I_5 = 12 \times 0.4 = 4.8 \text{ W}
\]

### Summary of Power Absorbed by Each Element:
- \( P_1 = 300 \text{ W} \)
- \( P_2 = 100 \text{ W} \)
- \( P_3 = 280 \text{ W} \)
- \( P_4 = 32 \text{ W} \)
- \( P_5 = 4.8 \text{ W} \)

Would you like to delve into the details of how power calculations are handled in electrical circuits or do you have any other questions? 

Here are 5 related questions for further practice:
1. What is the significance of the direction of current when calculating power in a circuit?
2. How would you determine if an element is absorbing or delivering power?
3. If the current in \( p_1 \) was reversed, what would the power absorbed become?
4. How would you calculate the total power supplied by the sources in the circuit?
5. Can power be negative? What does it indicate in an electrical circuit?

**Tip:** When analyzing circuits, always double-check the direction of current and voltage polarities to ensure correct power calculations.

Learn how to calculate the charge deposited on an object by a lightning bolt using electrical circuit principles. This problem involves applying the power formula P = VI and the charge formula Q = It to determine the charge deposited. Suitable for advanced high school students and anyone interested in electrical circuits and power calculations.

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