In the circuit of the figure & = 1.70 kV, C = 9.50 µF. R = R2 = R3 = 0.750 MQ. With C completely uncharged, switch S is suddenly closed (at t = 0). At t = 0, what are (a) current i, in resistor 1. (b) current iz in resistor 2, and (c) current ig in resistor 3? At t = (that is, after many time constants). what are (d)iz. (e)i2, and (f)i3? What is the potential difference V2 across resistor 2 at (g)t = 0 and (h)t = ? (a) Number Units (b) Number Units (c) Number Units Units (d) Number Units (e) Number Units (f) Number Units (g) Number > >

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In the circuit of the figure:
- \( \mathcal{E} = 1.70 \text{ kV} \)
- \( C = 9.50 \, \mu\text{F} \)
- \( R_1 = R_2 = R_3 = 0.750 \, \text{M}\Omega \)

With \( C \) completely uncharged, switch \( S \) is suddenly closed (at \( t = 0 \)).

At \( t = 0 \), what are:
- (a) the current \( i_1 \) in resistor 1?
- (b) the current \( i_2 \) in resistor 2?
- (c) the current \( i_3 \) in resistor 3?

At \( t = \infty \) (after many time constants), what are:
- (d) \( i_1 \)?
- (e) \( i_2 \)?
- (f) \( i_3 \)?

What is the potential difference \( V_2 \) across resistor 2 at:
- (g) \( t = 0 \)?
- (h) \( t = \infty \)?

**Diagram Explanation**:
The circuit diagram consists of a battery (\( \mathcal{E} \)), three resistors (\( R_1, R_2, R_3 \)), a capacitor (\( C \)), and a switch (\( S \)). Initially, the capacitor is uncharged. The switch controls the connection between the circuit elements. When closed, current can flow, charging the capacitor over time.

**Answer Fields**:
Below the description, fields are provided to enter numerical values for each question part. Each entry requires a number followed by selecting the appropriate units from a dropdown menu.
Transcribed Image Text:In the circuit of the figure: - \( \mathcal{E} = 1.70 \text{ kV} \) - \( C = 9.50 \, \mu\text{F} \) - \( R_1 = R_2 = R_3 = 0.750 \, \text{M}\Omega \) With \( C \) completely uncharged, switch \( S \) is suddenly closed (at \( t = 0 \)). At \( t = 0 \), what are: - (a) the current \( i_1 \) in resistor 1? - (b) the current \( i_2 \) in resistor 2? - (c) the current \( i_3 \) in resistor 3? At \( t = \infty \) (after many time constants), what are: - (d) \( i_1 \)? - (e) \( i_2 \)? - (f) \( i_3 \)? What is the potential difference \( V_2 \) across resistor 2 at: - (g) \( t = 0 \)? - (h) \( t = \infty \)? **Diagram Explanation**: The circuit diagram consists of a battery (\( \mathcal{E} \)), three resistors (\( R_1, R_2, R_3 \)), a capacitor (\( C \)), and a switch (\( S \)). Initially, the capacitor is uncharged. The switch controls the connection between the circuit elements. When closed, current can flow, charging the capacitor over time. **Answer Fields**: Below the description, fields are provided to enter numerical values for each question part. Each entry requires a number followed by selecting the appropriate units from a dropdown menu.
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