1
COMEDK 2024 Evening Shift
+1
-0

Figure below shows a network of resistors, cells, and a capacitor at steady state.

What is the current through the resistance 4 $$\Omega$$ ?

A
1.0 A
B
0.2 A
C
Zero
D
0.5 A
2
COMEDK 2024 Evening Shift
+1
-0

A parallel plate capacitor having a dielectric constant 5 and dielectric strength $$10^6 \mathrm{~V} \mathrm{~m}^{-1}$$ is to be designed with voltage rating of $$2 \mathrm{~kV}$$. The field should never exceed $$10 \%$$ of its dielectric strength. To have the capacitance of $$60 \mathrm{~pF}$$ the minimum area of the plates should be

A
$$27.1 \times 10^{-4} \mathrm{~m}^2$$
B
$$2.7 \times 10^{-2} \mathrm{~m}^2$$
C
$$2.71 \times 10^{-4} \mathrm{~m}^2$$
D
$$27.1 \times 10^{-2} \mathrm{~m}^2$$
3
COMEDK 2024 Evening Shift
+1
-0

The figure shows a network of five capacitors connected to a 20 V battery. Calculate the charge acquired by each 10 $$\mu$$F capacitor.

A
$$2 \times 10^{-4} \mathrm{C}$$
B
$$4 \times 10^{-4} \mathrm{C}$$
C
$$6 \times 10^{-4} \mathrm{C}$$
D
$$1 \times 10^{-4} \mathrm{C}$$
4
COMEDK 2024 Morning Shift
+1
-0

A parallel plate capacitor is filled by a dielectric whose relative permittivity varies with the applied voltage (U) as $$\epsilon=2 U$$. A similar capacitor with no dielectric is charged to $$U_0=78 \mathrm{~V}$$. It is then connected to the uncharged capacitor with the dielectric. Find the final voltage on the capacitors.

A
6V
B
8V
C
2V
D
4V
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