Tricky Capacitors

Electricity and Magnetism Level 2

Find the equivalent capacitance between $A$ and $B$ , $\dfrac{\epsilon A}{d}=7\text{ uF}$ , where $A$ is area of plates with $A>>d$

Assume each conducting plate is having same dimensions and neglect the thickness of the plate.

11\text{ uF}

7 \text{ uF}

15\text{ uF}

12\text{ uF}

1 solution

A Former Brilliant Member
May 9, 2016

Mark the plates as following:

This arrangement of plates can be converted into a circuit of capacitors as shown below:

Notice how the plates are connected according to the first diagram!

This is just a simple capacitor circuit, which considers ${C}_{34}={C}_{32}={C}_{21}={C}_{31} = 7\mu F = C$ and so, the capacitance, ${C}_{42} = \dfrac {C} {2}$ .

Solving this network, we get:

${C}_{net} = \dfrac {11C} {7} = 11\mu F$

Great solution!

Akshat Sharda - 3 years, 9 months ago

Tricky Capacitors

1 solution

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