A resistor dissipates 2.0Wwhen the rms voltage of the emf is10.0V. At what rmsvoltage will the resistor dissipate 10.0W?

Short Answer

Expert verified

The rmsvoltage of the resistor at P=10Wis =105V.

Step by step solution

01

Given information.

We have been given that,

P1=2ohmP2=10ohmVrms1=10V

We have to findVrms2.

02

Simplify.

We use the formula ,

P=(Vrms)2R

We have to findVrms2,

P1P2=(Vrms1)2(Vrms2)2

(Vrms2)2=(Vrms1)2P2P1

(Vrms2)2=(10)2102 (Substitutingthevalues)

(Vrms2)2=100×5

(Vrms2)=105V

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