Q31. An AC current is given by I = i₁ coswt + i₂sinwt The rms current is given by:
(a) (i₁+i₂)/√2
(b

Q: What is the correct answer for CUET UG Physics Q31?

The correct answer is c. The given AC current is I = i₁ cos(ωt) + i₂ sin(ωt). This represents a sum of two sinusoidal currents that are 90 degrees out of phase with each other. The RMS value of a single sinusoidal current component with peak value I₀ is I_rms = I₀/√2.For I₁' = i₁ cos(ωt), the RMS value is I₁_rms = i₁/√2.For I₂' = i₂ sin(ωt), the RMS value is I₂_rms = i₂/√2.When two AC currents are 90 degrees out of phase,

Q: Q31. An AC current is given by I = i₁ coswt + i₂sinwt The rms current is given by: (a) (i₁+i₂)/√2 (b) √((i₁²+i₂²)/2) (c) √(i₁²+i₂²)/2 (d) √((i₁+i₂)²)/2

The correct answer is c. The given AC current is I = i₁ cos(ωt) + i₂ sin(ωt). This represents a sum of two sinusoidal currents that are 90 degrees out of phase with each other. The RMS value of a single sinusoidal current component with peak value I₀ is I_rms = I₀/√2.For I₁' = i₁ cos(ωt), the RMS value is I₁_rms = i₁/√2.For I₂' = i₂ sin(ωt), the RMS value is I₂_rms = i₂/√2.When two AC currents are 90 degrees out of phase,

Q: What are the options for this CUET UG Physics question?

A. (i₁+i₂)/√2 · B. √((i₁²+i₂²)/2) · C. √(i₁²+i₂²)/2 · D. √((i₁+i₂)²)/2

Question

Q31. An AC current is given by I = i₁ coswt + i₂sinwt The rms current is given by:
(a) (i₁+i₂)/√2
(b) √((i₁²+i₂²)/2)
(c) √(i₁²+i₂²)/2
(d) √((i₁+i₂)²)/2

FirstInTest · Accepted Answer

The given AC current is I = i₁ cos(ωt) + i₂ sin(ωt). This represents a sum of two sinusoidal currents that are 90 degrees out of phase with each other. The RMS value of a single sinusoidal current component with peak value I₀ is I_rms = I₀/√2.For I₁' = i₁ cos(ωt), the RMS value is I₁_rms = i₁/√2.For I₂' = i₂ sin(ωt), the RMS value is I₂_rms = i₂/√2.When two AC currents are 90 degrees out of phase, their combined RMS value is the square root of the sum of their squares (similar to vector addition for perpendicular components):I_total_rms = √((I₁_rms)² + (I₂_rms)²)I_total_rms = √((i₁/√2)² + (i₂/√2)²) = √(i₁²/2 + i₂²/2) = √((i₁² + i₂²)/2).

Answer

(i₁+i₂)/√2

Answer

√((i₁²+i₂²)/2)

Answer

√(i₁²+i₂²)/2

Answer

√((i₁+i₂)²)/2

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