voltage across 2.0μf capacitor is 5.32v
Given:
C1=2.0μf
C2=4.0μf
since two capacitors are in series there equivalent capacitance will be
[tex] \frac{1}{c} = \frac{1}{c1} + \frac{1}{c2} [/tex]
![c = \frac{c1 \times c2}{c1 + c2}](https://tex.z-dn.net/?f=c%20%3D%20%20%5Cfrac%7Bc1%20%5Ctimes%20c2%7D%7Bc1%20%2B%20c2%7D%20)
![= \frac{2 \times 4}{2 + 4}](https://tex.z-dn.net/?f=%20%3D%20%20%5Cfrac%7B2%20%5Ctimes%204%7D%7B2%20%2B%204%7D%20)
=1.33μf
As the capacitance of a capacitor is equal to the ratio of the stored charge to the potential difference across its plates, giving: C = Q/V, thus V = Q/C as Q is constant across all series connected capacitors, therefore the individual voltage drops across each capacitor is determined by its its capacitance value.
Q=CV
given,V=8v
![= 1.33 \times 10 {}^{ - 6} \times 8](https://tex.z-dn.net/?f=%20%3D%201.33%20%5Ctimes%2010%20%7B%7D%5E%7B%20-%206%7D%20%20%5Ctimes%208)
![= 10.64 \times 10 {}^{ - 6}](https://tex.z-dn.net/?f=%20%3D%2010.64%20%5Ctimes%2010%20%7B%7D%5E%7B%20-%206%7D%20)
charge on 2.0μf capacitor is
![\frac{Qeq}{2 \times 10 {}^{ - 6} }](https://tex.z-dn.net/?f=%20%5Cfrac%7BQeq%7D%7B2%20%5Ctimes%2010%20%7B%7D%5E%7B%20-%206%7D%20%7D%20)
![= \frac{10.64 \times 10 {}^{ - 6} }{2 \times 10 {}^{ - 6} }](https://tex.z-dn.net/?f=%20%3D%20%20%5Cfrac%7B10.64%20%5Ctimes%2010%20%7B%7D%5E%7B%20-%206%7D%20%7D%7B2%20%5Ctimes%2010%20%7B%7D%5E%7B%20-%206%7D%20%7D%20)
=5.32v
learn more about series capacitance from here: brainly.com/question/28166078
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Answer:
ac = 3.92 m/s²
Explanation:
In this case the frictional force must balance the centripetal force for the car not to skid. Therefore,
Frictional Force = Centripetal Force
where,
Frictional Force = μ(Normal Force) = μ(weight) = μmg
Centripetal Force = (m)(ac)
Therefore,
μmg = (m)(ac)
ac = μg
where,
ac = magnitude of centripetal acceleration of car = ?
μ = coefficient of friction of tires (kinetic) = 0.4
g = 9.8 m/s²
Therefore,
ac = (0.4)(9.8 m/s²)
<u>ac = 3.92 m/s²</u>
Answer: c living in a camber in an under water habitat
Explanation:
Answer:
Acceleration of proton will be ![a=0.67\times 10^{11}m/sec^2](https://tex.z-dn.net/?f=a%3D0.67%5Ctimes%2010%5E%7B11%7Dm%2Fsec%5E2)
Explanation:
We have given a proton is placed in an electric field of intensity of 700 N/C
So electric field E = 700 N/C
Mass of proton ![m=1.67\times 10^{-27}kg](https://tex.z-dn.net/?f=m%3D1.67%5Ctimes%2010%5E%7B-27%7Dkg)
Charge on proton ![e=1.6\times 10^{-19}C](https://tex.z-dn.net/?f=e%3D1.6%5Ctimes%2010%5E%7B-19%7DC)
So electric force on the proton ![F=qE=1.6\times 10^{-19}\times 700=1.120\times 10^{-16}N](https://tex.z-dn.net/?f=F%3DqE%3D1.6%5Ctimes%2010%5E%7B-19%7D%5Ctimes%20700%3D1.120%5Ctimes%2010%5E%7B-16%7DN)
This force will be equal to force due to acceleration of the proton
According to newton's law force is given by F = ma
So ![1.67\times 10^{-27}\times a=1.120\times 10^{-16}](https://tex.z-dn.net/?f=1.67%5Ctimes%2010%5E%7B-27%7D%5Ctimes%20a%3D1.120%5Ctimes%2010%5E%7B-16%7D)
![a=0.67\times 10^{11}m/sec^2](https://tex.z-dn.net/?f=a%3D0.67%5Ctimes%2010%5E%7B11%7Dm%2Fsec%5E2)
So acceleration of proton will be ![a=0.67\times 10^{11}m/sec^2](https://tex.z-dn.net/?f=a%3D0.67%5Ctimes%2010%5E%7B11%7Dm%2Fsec%5E2)