Question

Consider an imaginary cube with one of its edge as a part of long uniformly charged wire of charge per unit length $\lambda$ as shown in figure. Side of cube is a, then

• A. Electric flux associated with face ADHE is $\frac{\lambda a}{2u{\epsilon }_0}$
• B. Electric flux associated with face BCGF is $\frac{\lambda a}{8{\epsilon }_0}$
• C. Electric flux associated with face ABFE is zero.
  
• D. Electric flux associated with face DCGH is $\frac{\lambda a}{16{\epsilon }_0}$

Answer 1

Answer: (B), (C)

The correct options are
B Electric flux associated with face BCGF is $\frac{\lambda a}{8{\epsilon }_0}$
C Electric flux associated with face ABFE is zero.


${\varphi }_{net}=\frac{q_{in}}{{\epsilon }_0}{q}_{in}=\frac{\lambda a}{4}$ where ${\varphi }_{ABFE}={\varphi }_{ADEH}=0$

also ${\varphi }_{ABCD}={\varphi }_{EHGF}=0$ & ${\varphi }_{DCGH}={\varphi }_{BCGF}=\frac{{\varphi }_{net}}{2}$