Question #292228

What force does the electric field of a charged infinite plane act with on each metre of a charged infinitely long filament placed in this field? The charge linear density on the filament is 3x10^- 8 C/cm and its surface density on the plane is 2x10^-8 C/cm2.



1
Expert's answer
2022-01-31T07:34:18-0500

E=σ2ε0,E=\frac{\sigma}{2\varepsilon_0},

E=Fq, q=τl,E=\frac Fq,~q=\tau l,

Fτl=σ2ε0,\frac F{\tau l}=\frac{\sigma}{2\varepsilon_0},

F1=Fl=στ2ε0=33.9 Nm.F_1=\frac Fl=\frac{\sigma\tau}{2\varepsilon_0}=33.9~\frac Nm.


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