2. You have three capacitors in parallel, one of capacitance 12 nF, one of 16 nF, and one of 22 nF. What is the equivalent capacitance to this combination? 3. Determine the magnetic field strength 2.5 cm away from a long straight wire of resistance per length 0.57 22/m if the wire is carrying a current of 2.2 A. You may neglect other external magnetic fields (e.g. from the earth).

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Certainly! Here is a transcription of the text from the image:

---

2. You have three capacitors in parallel, one of capacitance 12 nF, one of 16 nF, and one of 22 nF. What is the equivalent capacitance to this combination?

3. Determine the magnetic field strength 2.5 cm away from a long straight wire of resistance per length 0.57 Ω/m if the wire is carrying a current of 2.2 A. You may neglect other external magnetic fields (e.g. from the earth).

4. What is the power drawn from a 12 V ideal power supply 6.0 s after connecting it to an RC circuit whose decay half-life is 3.0 s if the initial current draw is 2.0 A.

5. How much charge is stored on each plate of a 12 nF capacitor if it has a voltage drop 12000 V?

6. Looking at the circuit to the right, determine which of the following equations are correct (select all that apply). 
Note: all batteries have emf ε and internal resistance r, and all other resistors have resistance R. The currents are simply numbered 1-8, e.g. "8" represents current I₈ and "4" represents current I₄, etc:
a) I₂ + I₆ - I₁ = 0
b) I₅r + I₃R + I₁R + I₇r = 0
c) I₁ - I₂ = I₈
d) ε + I₃R + I₄r - I₂R = 0
e) none of the above

**Diagram Explanation:**
- The diagram is a representation of a circuit with batteries and resistors.
- It features several resistors labeled with `R` and power sources with `ε` and `r`.
- Arrows indicate the directions of the currents labeled 1 through 8.
- Resistors and the areas of the circuit are connected in a complex network, illustrating the relationships under examination in question 6.

--- 

This transcription captures the text and explains the diagram included in the image.
Transcribed Image Text:Certainly! Here is a transcription of the text from the image: --- 2. You have three capacitors in parallel, one of capacitance 12 nF, one of 16 nF, and one of 22 nF. What is the equivalent capacitance to this combination? 3. Determine the magnetic field strength 2.5 cm away from a long straight wire of resistance per length 0.57 Ω/m if the wire is carrying a current of 2.2 A. You may neglect other external magnetic fields (e.g. from the earth). 4. What is the power drawn from a 12 V ideal power supply 6.0 s after connecting it to an RC circuit whose decay half-life is 3.0 s if the initial current draw is 2.0 A. 5. How much charge is stored on each plate of a 12 nF capacitor if it has a voltage drop 12000 V? 6. Looking at the circuit to the right, determine which of the following equations are correct (select all that apply). Note: all batteries have emf ε and internal resistance r, and all other resistors have resistance R. The currents are simply numbered 1-8, e.g. "8" represents current I₈ and "4" represents current I₄, etc: a) I₂ + I₆ - I₁ = 0 b) I₅r + I₃R + I₁R + I₇r = 0 c) I₁ - I₂ = I₈ d) ε + I₃R + I₄r - I₂R = 0 e) none of the above **Diagram Explanation:** - The diagram is a representation of a circuit with batteries and resistors. - It features several resistors labeled with `R` and power sources with `ε` and `r`. - Arrows indicate the directions of the currents labeled 1 through 8. - Resistors and the areas of the circuit are connected in a complex network, illustrating the relationships under examination in question 6. --- This transcription captures the text and explains the diagram included in the image.
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Step 1: Determine the given variables

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2.

Capacitance values are:

12 nF, 16 nF and 22 nF. 

All capacitors are connected in parallel. 

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