Take Class 12 Tuition from the Best Tutors
Affordable fees 1-1 or Group class Flexible Timings Verified Tutors Search in
(a) What is the total capacitance of the combination?
(b) Determine the charge on each capacitor if the combination is connected to a 100 V supply.
Asked by Kishore Last Modified
Answer 
Apoorva Purohit
(a) Capacitances of the given capacitors are
For the parallel combination of the capacitors, equivalent capacitor
is given by the algebraic sum,
Therefore, total capacitance of the combination is 9 pF.
(b) Supply voltage, V = 100 V
The voltage through all the three capacitors is same = V = 100 V
Charge on a capacitor of capacitance C and potential difference V is given by the relation,
q = VC … (i)
For C = 2 pF,
For C = 3 pF,
For C = 4 pF,
Navdeep Kalyan
Electrical Engineer With 2 Year Of Teaching Experience
If capacitors are in parallel they adds up.Do you know why?
In any electrical system if components are in 1.) series then current will be same throughout the elements ,2.) Parallel voltage will be same throughout the elements.
Now coming to second part of your question--please keep in mind that in capacitors Q=CV(where Q=charge),Now as described above voltage will be same in all three capacitors i.e same 100v is applied to 2pF,3pF nad 4pF.
Let say for 2pF--> here C=2pF,V=100,Q=?
=
Do this for rest of the capacitors.
Now why capacitor adds up in parallel
We know that
so
since Q=CV and {voltage is same}
Ceq=2+3+4=9pF
If the capacitors are connected in parallel, then the equivalent capacitance of capacitors is given by Ceq = C₁ + C₂ + C₃ + .......
Here , C₁ = 2pF, C₂ = 3pF and C₃ = 4pF
so, Ceq = C₁ + C₂ + C₃
Ceq = 2pF + 3pF + 4pF
= 9pF
(b) since the capacitors are in parallel, so the potential difference across each of them is same. e.g., V₁ = V₂ = V₃ = V = 100V
So, charge stored on capacitors are
Q₁ = C₁V = 2pF × 100V = 200pC
Q₂ = C₂V = 3pF × 100V = 300pC
Q₃ = C₃V = 4pF × 100 = 400pC
If the capacitors are connected in parallel then equivalent capacitance of capacitors is given by Ceq = C₁ + C₂ + C₃ + .......
Here , C₁ = 2pF, C₂ = 3pF and C₃ = 4pF
so, Ceq = C₁ + C₂ + C₃
Ceq = 2pF + 3pF + 4pF
= 9pF
(b) since the capacitors are in parallel, so the potential difference across each of them is same. e.g., V₁ = V₂ = V₃ = V = 100V
So, charge stored on capacitors are
Q₁ = C₁V = 2pF × 100V = 200pC
Q₂ = C₂V = 3pF × 100V = 300pC
Q₃ = C₃V = 4pF × 100 = 400pC
f the capacitors are connected in parallel, then the equivalent capacitance of capacitors is given by Ceq = C₁ + C₂ + C₃ Here , C₁ = 2pF, C₂ = 3pF and C₃ = 4pF
so, Ceq = C₁ + C₂ + C₃
Ceq = 2pF + 3pF + 4pF= 9pF
b) since the capacitors are in parallel, so the potential difference across each of them is the same. e.g., V₁ = V₂ = V₃ = V = 100V So, charge stored on capacitors are
Q₁ = C₁V = 2pF × 100V = 200pC
Q₂ = C₂V = 3pF × 100V = 300pC
Q₃ = C₃V = 4pF × 100 = 400pC
View 4 more Answers
Related Questions
(a) Inside the sphere
(b) Just outside the sphere
(c) At a point 18 cm from the centre of the sphere?
Now ask question in any of the 1000+ Categories, and get Answers from Tutors and Trainers on UrbanPro.com
Ask a QuestionRecommended Articles
Meet Raghunandan.G.H, a B. Tech Tutor from...
Raghunandan is a passionate teacher with a decade of teaching experience. Being a skilled trainer with extensive knowledge, he provides high-quality BTech, Class 10 and Class 12 tuition classes. His methods of teaching with real-time examples makes difficult topics simple to understand. He explains every concept in-detail...
Read full article >
Meet Mohammad Wazid, a skilled trainer for...
Mohammad Wazid is a certified professional tutor for class 11 students. He has 6 years of teaching experience which he couples with an energetic attitude and a vision of making any subject easy for the students. Over the years he has developed skills with a capability of understanding the requirements of the students. This...
Read full article >
Meet Sandhya R, a B.Sc tutor from Bangalore
Sandhya is a proactive educationalist. She conducts classes for CBSE, PUC, ICSE, I.B. and IGCSE. Having a 6-year experience in teaching, she connects with her students and provides tutoring as per their understanding. She mentors her students personally and strives them to achieve their goals with ease. Being an enthusiastic...
Read full article >
Meet Radhe Shyam Burman, an MBA Tutor from...
Radhe Shyam is a highly skilled accounts and finance trainer with 8 years of experience in teaching. Accounting is challenging for many students and that’s where Radhe Shyam’s expertise comes into play. He helps his students not only in understanding the subject but also advises them on how to overcome the fear of accounts...
Read full article >
Looking for Class 12 Tuition ?
Learn from the Best Tutors on UrbanPro
Are you a Tutor or Training Institute?
Join UrbanPro Today to find students near youThe best tutors for Class 12 Tuition Classes are on UrbanPro
The best Tutors for Class 12 Tuition Classes are on UrbanPro
6
