GATE ECE 2006 | Maxwell Equations Question 27 | Electromagnetics

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GATE ECE 2006

MCQ (Single Correct Answer)

-0.3

$$\int\int\left(\nabla\times\mathrm P\right)\;\cdot\mathrm{ds}$$ , where is a vector, is equal to

$$\mathrm P\times\nabla\times\mathrm P\;-\;\nabla^2\;\mathrm P$$

$$\nabla^2\;\mathrm P\;+\;\nabla\left(\nabla\cdot\mathrm P\right)$$

$$\nabla^2\;\mathrm P\;+\;\nabla\times\mathrm P$$

$$\nabla\left(\nabla\cdot\mathrm P\right)-\nabla^2\;\mathrm P\;$$

GATE ECE 2006

MCQ (Single Correct Answer)

-0.3

$$\nabla \times \nabla \times P$$, where P is a vector, is equal to

$$P \times \nabla \times P - {\nabla ^2}P$$

$${\nabla ^2}P + \nabla \left( {\nabla .P} \right)$$

$${\nabla ^2}P + \nabla \times P$$

$$\nabla \left( {\nabla .P} \right) - {\nabla ^2}P$$

GATE ECE 2003

MCQ (Single Correct Answer)

-0.3

The unit of $$\nabla\times\mathrm H$$ is

Ampere

Ampere/meter

Ampere/meter²

Ampere - meter

GATE ECE 1999

MCQ (Single Correct Answer)

-0.3

Identify which one of the following will NOT satisfy the wave equation.

$$50{e^{j\left( {\omega t - 3z} \right)}}$$

$$\sin \left[ {\omega \left( {10z + 5t} \right)} \right]$$

$$\cos \left( {{y^2} + 5t} \right)$$

$$\sin \left( x \right).\cos \left( t \right)$$

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