Question 558: Electrostatics & Capacitance

Question

A charged ball $$B$$ hangs from a silk thread $$S,$$ which makes angle $$	heta $$ with a large charged conducting sheet $$P,$$ as shown in the figure. The surface charge density $$\sigma $$ of the sheet is proportional to
f

Accepted Answer

$$T\sin 	heta  = {\sigma  \over {{\varepsilon _0}K}}.q\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,...\left( i ight)$$
$$T\cos 	heta  = mg\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,...\left( {ii} ight)$$
Dividing $$(i)$$ by $$(ii),$$
$$	an 	heta  = {{\sigma q} \over {{\varepsilon _0}K.mg}}$$
$$	herefore$$ $$\sigma  \propto \,	an 	heta $$

Answer

$$\cot \,	heta $$

Answer

$$\cos \,	heta $$

Answer

$$	an \,	heta $$

Answer

$$\sin \,	heta $$

Electrostatics & Capacitance

A charged ball $B hangs from a silk thread S, which makes angle \theta with a large charged conducting sheet P, as shown in the figure. The surface charge density \sigma $ of the sheet is proportional to f

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