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  1. GATE2019-55
  2. GATE2019-55
  3. GATE2019-55
  4. GATE2019-55

What is the electric flux $(\int \vec{E}.d \hat{a})$ through a quarter-cylinder of height $H$(as shown in the figure) due to an infinitely long line charge along the axis of the cylinder with a charge density of $Q$ ?

  1. $\frac{HQ}{\varepsilon_{0}}$
  2. $\frac{HQ}{4\varepsilon_{0}}$
  3. $\frac{H\varepsilon}{4Q}$
  4. $\frac{4H}{Q\varepsilon_{0}}$
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