The i-v characteristics for the electrical component C on the right of terminals
ID: 1833440 • Letter: T
Question
The i-v characteristics for the electrical component C on the right of terminals a-b is described by the linear equation:i = 0.06 v + 0.48.
On the left, a voltage source Vs = 8 V, and a resistor R = 2 ohm are connected to the a-b terminals as shown.
a) What is the IV equation for the circuit on the left of terminals a-b?
b) What are the numerical values for v and i?
The i-v characteristics for the electrical component C on the right of terminals a-b is described by the linear equation:i = 0.06 v + 0.48. On the left, a voltage source Vs = 8 V, and a resistor R = 2 ohm are connected to the a-b terminals as shown. a) What is the IV equation for the circuit on the left of terminals a-b? b) What are the numerical values for v and i?Explanation / Answer
The I-V equation is essentially using kirchoff's voltage law. The sum of the voltages of any one loop is equal to zero.
starting with the source:
-Vs + iR + Vab = 0
using numbers:
-8 + [(0.12 * Vab) + 0.96] + Vab = 0
1.12*Vab = 7.04
Vab = 6.286 V.
i = 0.06*6.286 + 0.48 = 0.857 A
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