The plates of a parallel plate capacitor, 5.0 x 10 m apart are maintained at a potential difference of 5.0 x 10^V. Calculate the magnitude of the (i) electric field intensity between the plates. (ii) force on the electron (iii) acceleration (electronic charge of the electron. = 1.6 x 10°C mass of electron = 9.1 x 10 kg).
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Answer:
Given, the separation between parallel plate of capacitor is d=5.0 \times 10^{-3} \: md=5.0×10
−3
m , the potential difference is V=5.0 \times 10^4V=5.0×10
4
volt.
Now , we know that
V=E\cdot d \\\implies E=\frac{V}{d}V=E⋅d
⟹E=
d
V
Where, EE denotes the electric field intensity inside the capacitor.
i). Now, from the above formula we get,
E=\frac{5.0 \times 10^4}{5.0 \times 10^{-3}} \: \text{Newton/Columb}(N/C)\\ \implies E=1.0 \times10^7 \: N/CE=
5.0×10
−3
5.0×10
4
Newton/Columb(N/C)
⟹E=1.0×10
7
N/C
Therefore, Electric field intensity inside the capacitor is E=1.0 \times10^7 \: N/CE=1.0×10
7
N/C .
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