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The charge flowing in a conductor changes with time as \(\mathbf{Q}(\mathbf{t})=\boldsymbol{\alpha t}-\boldsymbol{\beta}…

Q1

The charge flowing in a conductor changes with time as \(\mathbf{Q}(\mathbf{t})=\boldsymbol{\alpha t}-\boldsymbol{\beta} \mathbf{t}^{\mathbf{2}}+\boldsymbol{\gamma} \mathbf{t}^{\mathbf{3}}\). Where \(\boldsymbol{\alpha}, \boldsymbol{\beta}\) and \(\boldsymbol{\gamma}\) are constants. Minimum value of current is :

a

\(\alpha -\frac{3{\beta }^{2}}{\tau }\)

b

\(\alpha -\frac{{\gamma }^{2}}{3\beta }\)

c

\(\beta -\frac{{\alpha }^{2}}{3\gamma }\)

d

\(\alpha -\frac{{\beta }^{2}}{3\gamma }\)

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