The dependent current source shown in the figure below :

Concept:

In electrical circuits, the power delivered or absorbed by a source is calculated as:

For a current source, power is considered delivered if current flows from a higher to a lower potential, and absorbed if it flows into a higher potential.

Calculation:

Given:

Voltage source

Resistors: 5 Ω and 1 Ω in series

Dependent current source =

Step 1: Find the voltage across the current source:

Current through the 1 Ω resistor = 4 A (since it’s in series)

Voltage across 1 Ω resistor =

Step 2: Determine power delivered by the current source:

Power = Voltage across current source × current

(But this doesn’t match the power claimed — let’s correct that)

Actually, let’s analyze total current:

Current in the loop:

Total resistance = 5 Ω + 1 Ω = 6 Ω

Current in the loop =

But the current source is defined as , so loop current must be 4 A.

Thus, power delivered by current source:

Voltage across it = voltage across 1 Ω resistor =

— still not matching options, so we must use **loop analysis** properly.

Correct approach:

Total loop resistance = 6 Ω, total current I = 4 A (as per dependent source)

— confirmed

Now, voltage across current source = voltage across 1 Ω resistor =

— this contradicts the earlier answer

Let’s try using power delivered by the dependent source directly:

Dependent current source =

Voltage across the dependent source is the same as voltage across 1 Ω resistor = 4 V

Still, it doesn’t match the answer options — there must be an error in previous logic.

Let’s try using energy supplied:

Total voltage = 20 V, current = 4 A ⇒ total power supplied = 80 W

Power dissipated in resistors:

5 Ω:

1 Ω:

Total power consumed = 96 W, which implies that dependent source must deliver:

→ contradicts

Correct method:

Voltage across current source = voltage across 1 Ω resistor =

Current = 4 A ⇒ Power = — this suggests no 80 W delivery

But what is V₁ in the question?

Dependent source value = V₁/5 A, where V₁ is voltage across 5 Ω resistor

If current is I, then

Thus, current = V₁/5 = I → Consistent

So I = 4 A, V across dependent source = 20 V (as it’s across voltage source)