2. When the potential difference across an ohmic resistor is doubled, which of t

Question

2. When the potential difference across an ohmic resistor is doubled, which of the following effects occur? [A] The power dissipated by the resistor doubles and the resistance doubles. [B] The power dissipated by the resistor quadruples and the resistance doubles. [C] The power dissipated by the resistor doubles and the resistance is unchanged. [D] The power dissipated by the resistor quadruples and the resistance is unchanged.
*please explain how you got the answer* 2. When the potential difference across an ohmic resistor is doubled, which of the following effects occur? [A] The power dissipated by the resistor doubles and the resistance doubles. [B] The power dissipated by the resistor quadruples and the resistance doubles. [C] The power dissipated by the resistor doubles and the resistance is unchanged. [D] The power dissipated by the resistor quadruples and the resistance is unchanged.
*please explain how you got the answer* 2. When the potential difference across an ohmic resistor is doubled, which of the following effects occur? [A] The power dissipated by the resistor doubles and the resistance doubles. [B] The power dissipated by the resistor quadruples and the resistance doubles. [C] The power dissipated by the resistor doubles and the resistance is unchanged. [D] The power dissipated by the resistor quadruples and the resistance is unchanged.
*please explain how you got the answer*

Explanation / Answer

We know that power dissipated is given by:

P = V^2/R

V^2 = P*R

We are given that potential difference is doubled, So in

Option A.

when P and R are doubled, then

Va^2 = 2P*2R = 4*P*R

Va^2 = 4*V^2

Va = 2*V

Correct option.

Option B.

When P is quadrupled and R doubled

Vb^2 = 4*P*2*R

Vb^2 = 8*V^2

Vb = 2*sqrt 2*V

Incorrect.

Option C

when R double but P remains same

Vc^2 = P*2*R

Vc^2 = 2*V^2

Vc = sqrt 2*V

Incorrect

Option D.

when P is quadrupled and R remains same

Vd^2 = 4*P*R

Vd^2 = 4*V^2

Vd = 2*V

Correct option.

Correct options are A and D.

Related Questions

Navigate

• Browse (All)
• Browse 2
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.