Question

Consider the circuit in Suppose that i=4 A and v=10 V. Use a series of source transformations to find io in the circuit. Express your answer to three significant figures.

Answer 1

To find io in the circuit, we can use a series of source transformations. First, convert the current source and voltage source into their equivalent resistors. Then, combine the resistors into a single equivalent resistor. Finally, use Ohm's law to find the current through the equivalent resistor.

Step-by-step explanation:

In order to find io in the circuit, we need to use a series of source transformations. First, we can convert the current source (i) and the voltage source (v) into their equivalent resistor values. The current source can be transformed into a resistor by using Ohm's law, where R = v/i, so R1 = 10V/4A = 2.5Ω. The voltage source can be transformed into a current source by dividing the voltage by the resistance, so i2 = v/10Ω = 10/10 = 1A.

Next, we can combine the two resistors (R1 and R2) into a single equivalent resistor (Req) by adding them together, so Req = R1 + R2. Finally, we can use Ohm's law again to find the current through Req, where io = v/Req.