3Ω + v, 10 V 50's Figure P1.70
KVL and KCL
KVL stands for Kirchhoff voltage law. KVL states that the total voltage drops around the loop in any closed electric circuit is equal to the sum of total voltage drop in the same closed loop.
Sign Convention
Science and technology incorporate some ideas and techniques of their own to understand a system skilfully and easily. These techniques are called conventions. For example: Sign conventions of mirrors are used to understand the phenomenon of reflection and refraction in an easier way.
The circuit shown in Figure P1.70 contains a voltage-controlled voltage source. a. Use KVL to write an equation relating the voltages and solve for v x.
b. Use Ohm’s law to find the current i x.
c. Find the power for each element in the circuit and verify that power is conserved.
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