A vacuum capacitor ( A= 30 cm x 50 cm, d = 4.00 cm) is partially filled with a dielectric slab of thickness 3.00 cm. k = 12. 15. find the capacitance of the capacitor. 4cm 16. If 50 Volts is applied across the plates, what's the total energy stored in the capacitor?

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Chapter1: Units, Trigonometry. And Vectors
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15: a) 133 b) 531 c) 106 d) 225

16: a) 110 b) 133 c) 328 d) 267

**Capacitance and Temperature Coefficient Problems**

A vacuum capacitor with dimensions \( A = 30 \, \text{cm} \times 50 \, \text{cm}, \, d = 4.00 \, \text{cm} \) is partly filled with a dielectric slab of thickness \( 3.00 \, \text{cm} \) and dielectric constant \( k = 12 \).

**Problem 15:**
Determine the capacitance of the capacitor.

*Diagram Explanation:*
The diagram shows a capacitor with a dielectric slab inserted. The slab covers part of the separation between the plates.

**Problem 16:**
If 50 Volts is applied across the plates, calculate the total energy stored in the capacitor.

---

When the temperature is increased from 130°C to 200°C, the resistance of a resistor changes from 45 ohms to 69 ohms.

**Problem 17:**
Calculate the temperature coefficient of the resistor.

**Problem 18:**
Find the resistance at 20°C, denoted as \( R_0 \).

*Hint:* Set up a system of equations and solve for these quantities.
Transcribed Image Text:**Capacitance and Temperature Coefficient Problems** A vacuum capacitor with dimensions \( A = 30 \, \text{cm} \times 50 \, \text{cm}, \, d = 4.00 \, \text{cm} \) is partly filled with a dielectric slab of thickness \( 3.00 \, \text{cm} \) and dielectric constant \( k = 12 \). **Problem 15:** Determine the capacitance of the capacitor. *Diagram Explanation:* The diagram shows a capacitor with a dielectric slab inserted. The slab covers part of the separation between the plates. **Problem 16:** If 50 Volts is applied across the plates, calculate the total energy stored in the capacitor. --- When the temperature is increased from 130°C to 200°C, the resistance of a resistor changes from 45 ohms to 69 ohms. **Problem 17:** Calculate the temperature coefficient of the resistor. **Problem 18:** Find the resistance at 20°C, denoted as \( R_0 \). *Hint:* Set up a system of equations and solve for these quantities.
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