What Is the Resistance and Power for 24V and 1.5A?

24 volts and 1.5 amps gives 16 ohms resistance and 36 watts power. Ohm's Law (V = IR) and the power equation (P = VI) connect all four electrical values. Knowing any two lets you calculate the other two instantly.

24V and 1.5A

16 Ω | 36 W

Voltage (V)24 V

Current (I)1.5 A

Resistance (R)16 Ω

Power (P)36 W

Volts

Amps

Ohms

Watts

Formulas & Step-by-Step

Resistance

R = V ÷ I

24 ÷ 1.5 = 16 Ω

Power

P = V × I

24 × 1.5 = 36 W

Verification (alternative formulas)

P = I² × R

1.5² × 16 = 2.25 × 16 = 36 W ✓

P = V² ÷ R

24² ÷ 16 = 576 ÷ 16 = 36 W ✓

Circuit Analysis

Heat Dissipation

This circuit dissipates 36 watts of power as heat. In a resistor, all electrical energy at steady state converts to thermal energy. The actual component power rating needs headroom above this steady-state figure, but the specific derating depends on resistor type (carbon-comp, metal-film, wirewound each behave differently), ambient temperature, airflow or heat-sinking, and whether the load is continuous or pulsed. Check the resistor datasheet for the manufacturer-specific derating curve rather than applying a blanket margin.

If You Change the Resistance

Resistance	Current	Power	Change
8 Ω	3 A	72 W	Lower R = more current
12 Ω	2 A	48 W	Lower R = more current
16 Ω	1.5 A	36 W	Current
24 Ω	1 A	24 W	Higher R = less current
32 Ω	0.75 A	18 W	Higher R = less current

Same Resistance at Different Voltages

Holding the resistance constant at 16Ω, here is how current and power scale with source voltage. This is a reference table, not a set of separate circuit scenarios: each row is the same resistor under a different applied voltage.

Voltage	Current (at 16Ω)	Power
5V	0.3125 A	1.56 W
12V	0.75 A	9 W
24V	1.5 A	36 W
48V	3 A	144 W
120V	7.5 A	900 W
208V	13 A	2,704 W
230V	14.38 A	3,306.25 W
240V	15 A	3,600 W
480V	30 A	14,400 W

Related Calculations

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Frequently Asked Questions

What is the resistance for 24V and 1.5A?expand_more

R = V ÷ I = 24 ÷ 1.5 = 16 ohms.

What determines wire size for 1.5A?expand_more

Wire sizing for a given current is not an Ohm's Law calculation. It depends on run length, source voltage, voltage-drop target, conductor material, insulation and termination temperature rating, cable type, and ambient and bundling conditions. The dedicated wire-size calculator takes those variables as input.

Does Ohm's Law work for AC circuits?expand_more

For purely resistive loads, yes. For reactive loads, use impedance (Z) instead of resistance (R). Z includes both resistance and reactance, and the V/I phase shift shows up in power factor.

What are all 12 Ohm's Law formulas?expand_more

V=IR, V=P/I, V=√(PR) | I=V/R, I=P/V, I=√(P/R) | R=V/I, R=V²/P, R=P/I² | P=VI, P=I²R, P=V²/R.

How are voltage, current, resistance, and power related?expand_more

Ohm's Law (V = IR) and the power equation (P = VI) connect all four. Given any two, you can calculate the other two.

This calculator provides estimates for reference purposes only. Always consult a licensed electrician and verify compliance with the National Electrical Code (NEC) and local electrical codes before performing any electrical work.