GATE Instrumentation
161 questions · 21 years · 9 subjects
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An electric field has a potential of V(x,y,z) = $\sqrt{x^2 + y^2 + z^2}$ V. A charge of 1 coulomb placed at $(\hat{i} + \hat{j} + \hat{k})$ experiences a force of $\vec{F} = (a\hat...
An electric field in free space is $\vec{E} = (2x + 5y + 6z)\hat{i} + (5x + 4y + 10z)\hat{j} + (6x + 10y + 2z)\hat{k}$ V/m. The charge density is _______ C/m³. ($\epsilon_0$ is the...
A straight thin wire carrying a current of I = 1 A in the direction $\hat{n} = \frac{1}{\sqrt{6}}\hat{i} + \frac{2}{\sqrt{6}}\hat{j} + \frac{1}{\sqrt{6}}\hat{k}$ is placed inside a...
If the definition of SI unit 'X' is required to define SI unit 'Y', the dependency is indicated as X → Y. A valid order of dependencies, as per present convention, is ________.