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Mica capacitors are preferred for high-frequency circuits.

The unit of capacitance is the farad (F).

The dielectric constant for mica is approximately 3 to 8.

When a capacitor undergoes dielectric breakdown, a permanent conduction path is established between the plates.

To find the equivalent resistance of a delta circuit, we can use the following formulas:

For a delta connection, the equivalent resistance in terms of one of the resistances (let's call it R) is given by:

\[ R_{\text{equivalent}} = \dfrac{R}{3} \]

Given that each element in the delta circuit has a value of \( \dfrac{R}{2} \), we can substitute \( R = \dfrac{R}{2} \) into the formula to find the equivalent resistance:

\[ R_{\text{equivalent}} = \dfrac{\dfrac{R}{2}}{3} \]\[ R_{\text{equivalent}} = \dfrac{R}{6} \]

Therefore, the equivalent resistance of the star circuit will be \( \dfrac{R}{6} \). So, the answer is \( \dfrac{R}{6} \).

In a delta-to-star (or delta-to-wye) transformation, the resistor values in the star network are related to the delta network as follows:

For the star network, the value of each resistor (R_s) is related to the delta network resistor value (R_d) by the equation:

\[ R_s = \dfrac{R_d}{3} \]

In this case, each element in the delta network has a value of R. Therefore, the value of each element in the equivalent star network will be:

\[ R_s = \dfrac{R}{3} \]

So, the answer is R/3.

The superposition theorem states that in a linear circuit with multiple sources, the response in any element (voltage or current) is equal to the algebraic sum of the responses caused by each source acting alone, with all other sources inactive.

So, the superposition theorem requires as many circuits to be solved as there are sources. Therefore, the correct answer is:

sources

The superposition theorem applies to both voltage and current in linear electrical circuits. It allows us to analyze the behavior of circuits with multiple sources by considering the effects of each source individually while ignoring the others. So, the correct answer is:

both current and voltage

Kirchhoff's Voltage Law (KVL) states that the sum of the voltage drops around any closed loop in a circuit is equal to the sum of the voltage rises in that loop. 

This imposes linear constraints on the branch voltages within the loop. The sum of the voltage drops (which are linear) must equal the sum of the voltage rises (also linear) in the loop.

So, the correct answer is:

linear constraints

A network that contains one or more sources of electromotive force (emf) is known as an active network. Active networks contain elements that can generate power, such as voltage or current sources, as opposed to passive networks, which do not contain any active sources.

So, the correct answer is:

active network