What happens to the capacitance of a capacitor if the dielectric constant is doubled?
Practice Questions
1 question
Q1
What happens to the capacitance of a capacitor if the dielectric constant is doubled?
It doubles
It halves
It remains the same
It quadruples
The capacitance C of a capacitor is directly proportional to the dielectric constant k. If k is doubled, C also doubles.
Questions & Step-by-step Solutions
1 item
Q
Q: What happens to the capacitance of a capacitor if the dielectric constant is doubled?
Solution: The capacitance C of a capacitor is directly proportional to the dielectric constant k. If k is doubled, C also doubles.
Steps: 5
Step 1: Understand what capacitance (C) is. It is a measure of a capacitor's ability to store electrical energy.
Step 2: Know that the dielectric constant (k) is a number that represents how much a material can increase the capacitance compared to a vacuum.
Step 3: Remember the relationship: Capacitance (C) is directly proportional to the dielectric constant (k). This means if k changes, C changes in the same way.
Step 4: If the dielectric constant (k) is doubled (for example, from 2 to 4), then the capacitance (C) will also double.
Step 5: Conclude that if the dielectric constant is doubled, the capacitance of the capacitor will also double.
