Question

The magnitude of the dependent current source in the circuit below depends on the current flowing through the resistor. Determine the magnitude of the dependent current source.

Answer 1

To determine the magnitude of a dependent current source depending on the current flowing through a resistor, Ohm's law is used, which relates current, voltage, and resistance. The formula V = IR can calculate the current in a circuit with a known voltage and resistance, allowing us to estimate the current source's magnitude.

Step-by-step explanation:

The question concerns the calculation of the magnitude of a current source in an electrical circuit, which depends on the current flowing through a resistor. To determine the magnitude, one would use Ohm's law, which states that the current (I) through a conductor between two points is directly proportional to the voltage (V) across the two points and inversely proportional to the resistance (R) of the conductor. The formula for Ohm's law is V = IR.

In the given circuit with a voltage source of 24 V and a resistance (Req) of 12 Ω, the current provided by the voltage source can be calculated as I = V / Req. This current, designated as I1 when flows through resistor R1, will have a voltage drop across R1 also given by Ohm's law. Therefore, to determine the magnitude of the dependent current source, which can be represented as a function of I1, you would need the specific dependency relationship provided in the circuit diagram, which is not available in the text provided. However, with the information given, the current I1 can be calculated as 2 A, assuming there are no other components or resistances in the circuit.

Answer 2

To find the magnitude of the dependent current source, we apply Ohm's Law (I = V/R), considering the voltage across and the resistance of the resistor to calculate the current flowing through it.

Step-by-step explanation:

The question pertains to determining the magnitude of a dependent current source in a circuit with respect to the current flowing through a resistor.

Using Ohm's Law, which states that the current I through a conductor between two points is directly proportional to the voltage V across the two points and inversely proportional to the resistance R between them, expressed as I = V/R, we can calculate the current provided by an adjustable voltage source.

This current flows through the circuit and leads to a potential drop across each resistor.

Applying Ohm's Law to the given resistor with its known voltage and resistance can derive the specific current flowing through that resistor.