Electrostatic potential and capacitance

In summary, the maximum potential difference between the two ends of the capacitor when connected in series is 50V. To calculate this, you can find the net charge through the battery and then calculate the charge on each capacitor. Using the equation Q=CV, you can then find the potential on each capacitor, taking into account the maximum voltage limit of 50V.
  • #1
vipulgoyal
26
0

Homework Statement


C120 uF C2=40uF C3= 50uF if no capacitor has the capacity to bear more than 50V then maximum potential difference between the two ends is


Homework Equations



Q=CV


The Attempt at a Solution


i tried by calculating the Ceq then putting it in the equation finding out q i know it doesn't make sense...

Just help me..
 
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  • #2
let emf of battery is V

Find net q through battery

then find q on each capacitor and thus calculate voltage of each

Now maximum voltage you find cannot exceed

then calculate V
 
  • #3
cupid.callin said:
let emf of battery is V

Find net q through battery

then find q on each capacitor and thus calculate voltage of each

Now maximum voltage you find cannot exceed

then calculate V

q(battery) = q on each capacitor as the conection is made in series (sorry forgot to mention that
)
 
  • #4
nyways answer will not come by this method it will result into the given variable

let V be the emf of battery
then q= C (eq) V
q= 200/19 V

now you suggest to find V' thre are two variables above so can't find that either
 
  • #5
q = 200/19 V

so potential on each capacitor is : (200V/19)/20 , (200V/19)/40 , (200V/19)/50

now the maximum of these is equal to 50 (given)

so equate and find V

answer:
V = 95
 

Related to Electrostatic potential and capacitance

1. What is electrostatic potential?

Electrostatic potential is the amount of work required to move a unit positive charge from infinity to a given point in an electric field. It is measured in volts (V) and is a scalar quantity.

2. How is electrostatic potential calculated?

Electrostatic potential is calculated by dividing the work done (W) by the charge (q): V = W/q. It can also be calculated by taking the negative integral of the electric field (E) with respect to distance (r): V = -∫E•dr.

3. What is capacitance?

Capacitance is the ability of a system to store electrical charge. It is measured in farads (F) and is defined as the ratio of the charge (q) stored on a conductor to the potential difference (V) across it: C = q/V.

4. How is capacitance related to electrostatic potential?

Capacitance is directly proportional to the electrostatic potential, meaning that an increase in potential will result in an increase in capacitance. This relationship is represented by the equation C = ε0A/d, where ε0 is the permittivity of free space, A is the area of the plates, and d is the distance between them.

5. What are some real-world applications of electrostatic potential and capacitance?

Electrostatic potential and capacitance are important in various technologies, such as capacitors used in electronic circuits, defibrillators in medical devices, and Van de Graaff generators in particle accelerators. They also play a role in everyday objects like lightning rods and touch screens on smartphones and tablets.

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