Vind Figure 1 Consider two infinitely long wires carrying currents I and I, cross (without electrical contact) at the origin as shown above. Starting at t = 0, the current I, decreases exponentially over time according to I, = 1,e¬t, while current I stays constant at L = 1,. Answer only the following questions to find an expression of the induced voltage vina (t) in the rectangular loop given in Figure 1 by the Faraday's law. i. Will there be any induced voltage vina (t) by I2. (Yes/No). Identify the direction of B, ds, dl, Einduced and linduced in the rectangular loop of Figure 1. ii. What is the expression of the induced voltage vina (t) in the rectangular loop? Hint: Assume that the magnetic field of long straight wire is given by B = 2nr

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Vind
Figure 1
Consider two infinitely long wires carrying currents I, and I2 cross (without electrical contact) at
the origin as shown above. Starting at t = 0, the current I, decreases exponentially over time
according to I2 = 1,e-t, while current I stays constant at = 1,. Answer only the following
questions to find an expression of the induced voltage vina (t) in the rectangular loop given in
Figure 1 by the Faraday's law.
i. Will there be any induced voltage vina(t) by I,. (Yes/No). Identify the direction of B, ds,
dl, Einduced and linduced in the rectangular loop of Figure 1.
ii. What is the expression of the induced voltage vina (t) in the rectangular loop?
Hint: Assume that the magnetic field of long straight wire is given by B =
2πη
Transcribed Image Text:Vind Figure 1 Consider two infinitely long wires carrying currents I, and I2 cross (without electrical contact) at the origin as shown above. Starting at t = 0, the current I, decreases exponentially over time according to I2 = 1,e-t, while current I stays constant at = 1,. Answer only the following questions to find an expression of the induced voltage vina (t) in the rectangular loop given in Figure 1 by the Faraday's law. i. Will there be any induced voltage vina(t) by I,. (Yes/No). Identify the direction of B, ds, dl, Einduced and linduced in the rectangular loop of Figure 1. ii. What is the expression of the induced voltage vina (t) in the rectangular loop? Hint: Assume that the magnetic field of long straight wire is given by B = 2πη
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