**Problem 3:** For what emf \( \mathcal{E} \) does the 200 Ω resistor in Fig. 3 dissipate no power? Should the emf be oriented with its positive terminal at the top or at the bottom? a) If the 200 Ω resistor dissipates no power, what does this mean for the distribution of the currents in the circuit? In other words, how are the currents through the different resistors related in this case? b) Choose any two different closed loops in the circuit and write down the Kirchhoff’s loop law for these loops. It must be possible to solve these two equations for the current and the emf \( \mathcal{E} \). **Figure 3: The Scheme for Problem 3** The diagram (Fig. 3) shows a circuit with a 50V battery and three resistors. A 100Ω and a 300Ω resistor are connected in series. A 200Ω resistor is connected in parallel with the 300Ω resistor. The emf source \( \mathcal{E} \) is in series with the 200Ω resistor but its value and orientation (positive terminal at the top or the bottom) need to be determined.

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I need help with PART A AND PART B, I was wondering if you can help me with PART A AND PART B. Is there a chance that you can help me with part A and Part B and can you label which one is which

**Problem 3:** For what emf \( \mathcal{E} \) does the 200 Ω resistor in Fig. 3 dissipate no power? Should the emf be oriented with its positive terminal at the top or at the bottom?

a) If the 200 Ω resistor dissipates no power, what does this mean for the distribution of the currents in the circuit? In other words, how are the currents through the different resistors related in this case?

b) Choose any two different closed loops in the circuit and write down the Kirchhoff’s loop law for these loops. It must be possible to solve these two equations for the current and the emf \( \mathcal{E} \).

**Figure 3: The Scheme for Problem 3**

The diagram (Fig. 3) shows a circuit with a 50V battery and three resistors. A 100Ω and a 300Ω resistor are connected in series. A 200Ω resistor is connected in parallel with the 300Ω resistor. The emf source \( \mathcal{E} \) is in series with the 200Ω resistor but its value and orientation (positive terminal at the top or the bottom) need to be determined.
Transcribed Image Text:**Problem 3:** For what emf \( \mathcal{E} \) does the 200 Ω resistor in Fig. 3 dissipate no power? Should the emf be oriented with its positive terminal at the top or at the bottom? a) If the 200 Ω resistor dissipates no power, what does this mean for the distribution of the currents in the circuit? In other words, how are the currents through the different resistors related in this case? b) Choose any two different closed loops in the circuit and write down the Kirchhoff’s loop law for these loops. It must be possible to solve these two equations for the current and the emf \( \mathcal{E} \). **Figure 3: The Scheme for Problem 3** The diagram (Fig. 3) shows a circuit with a 50V battery and three resistors. A 100Ω and a 300Ω resistor are connected in series. A 200Ω resistor is connected in parallel with the 300Ω resistor. The emf source \( \mathcal{E} \) is in series with the 200Ω resistor but its value and orientation (positive terminal at the top or the bottom) need to be determined.
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