Verified Solution • 2025–26 Session moderate

QJEEM25Ph92f3: JEE Main 2025 Physics - Class 12 JEEM25Ph92f3 Solution: A line charge of length is kept at the center of an edge of a…

A line charge of length a′2\frac{\mathrm{a}^{\prime}}{2} is kept at the center of an edge BCB C of a cube ABCDEFGH having edge length ' aa ' as shown in the figure. If the density of line charge is λC\lambda \mathrm{C} per unit length, then the total electric flux through all the faces of the cube will be ___________ . (Take, ϵ0\epsilon_0 as the free space permittivity)

JEE Main 2025 (Online) 22nd January Morning Shift Physics - Electrostatics Question 14 English

Multiple Choice Options

  • A λa2ϵ0\frac{\lambda a}{2 \epsilon_0}
  • B λa8ϵ0\frac{\lambda \mathrm{a}}{8 \epsilon_0}
  • C λa4ϵ0\frac{\lambda \mathrm{a}}{4 \epsilon_0}
  • D λa16ϵ0\frac{\lambda \mathrm{a}}{16 \epsilon_0}

Step-by-Step Verified Solution

 Total charge inside the cube =λa24=λa8∴ϕ=qin ε0=λa8ε0

Related Learning Resources & Exam Preparation

JEE Main PYQ Question Bank
Browse year-wise authentic previous years' questions with solutions
Authentic CBT Mock Tests
Simulate official exam environment with live timer and percentile scoring