Have a query? Ask a Tutor!!

Access to best educators and exclusive paper discussions

Offsite Campus Turito Championship

Can’t find what you’re looking for?

Our tutors are from top schools around the world, and they are waiting for you 24/7, anytime, anywhere.

Homework- One to One Solutions
Understand concepts to solve better
Get your doubts solved instantly

Physics-

General

Easy

Question

Two condensers $C subscript 1 end subscript$ and $C subscript 2 end subscript$ in a circuit are joined as shown in figure. The potential of point $A$ is $V subscript 1 end subscript$ and that of $B$ is $V subscript 2 end subscript$ . The potential of point $D$ will be

$\frac{1}{2} (V_{1} + V_{2})$
$\frac{C_{2} V_{1} + C_{1} V_{2}}{C_{1} + C_{2}}$
$\frac{C_{1} V_{1} + C_{2} V_{2}}{C_{1} + C_{2}}$
$\frac{C_{2} V_{1} - C_{1} V_{2}}{C_{1} + C_{2}}$

The correct answer is: $fraction numerator C subscript 1 end subscript V subscript 1 end subscript plus C subscript 2 end subscript V subscript 2 end subscript over denominator C subscript 1 end subscript plus C subscript 2 end subscript end fraction$

Charge on $C subscript 1 end subscript$ = charge on $C subscript 2 end subscript$
Þ $C subscript 1 end subscript left parenthesis V subscript A end subscript minus V subscript D end subscript right parenthesis equals C subscript 2 end subscript left parenthesis V subscript D end subscript minus V subscript B end subscript right parenthesis$
Þ $C subscript 1 end subscript left parenthesis V subscript 1 end subscript minus V subscript D end subscript right parenthesis equals C subscript 2 end subscript left parenthesis V subscript D end subscript minus V subscript 2 end subscript right parenthesis$ Þ $V subscript D end subscript equals fraction numerator C subscript 1 end subscript V subscript 1 end subscript plus C subscript 2 end subscript V subscript 2 end subscript over denominator C subscript 1 end subscript plus C subscript 2 end subscript end fraction$

Related Questions to study

A capacitor of capacitance $5 mu F$ is connected as shown in the figure. The internal resistance of the cell is $0.5 capital omega$ . The amount of charge on the capacitor plate is

A capacitor of capacitance $5 mu F$ is connected as shown in the figure. The internal resistance of the cell is $0.5 capital omega$ . The amount of charge on the capacitor plate is

Physics-General

The effective capacitance between the points $P$ and $Q$ of the arrangement shown in the figure is

The effective capacitance between the points $P$ and $Q$ of the arrangement shown in the figure is

Physics-General

In the circuit shown here $C subscript 1 end subscript equals 6 mu F comma C subscript 2 end subscript equals 3 mu F$ and battery $B equals 20 V$ . The switch $S subscript 1 end subscript$ is first closed. It is then opened and afterwards $S subscript 2 end subscript$ is closed. What is the charge finally on $C subscript 2 end subscript$

In the circuit shown here $C subscript 1 end subscript equals 6 mu F comma C subscript 2 end subscript equals 3 mu F$ and battery $B equals 20 V$ . The switch $S subscript 1 end subscript$ is first closed. It is then opened and afterwards $S subscript 2 end subscript$ is closed. What is the charge finally on $C subscript 2 end subscript$

Physics-General

parallel

Four capacitors are connected as shown in the figure. Their capacities are indicated in the figure. The effective capacitance between points $x$ and $y$ is (in $mu F$ )

Four capacitors are connected as shown in the figure. Their capacities are indicated in the figure. The effective capacitance between points $x$ and $y$ is (in $mu F$ )

Physics-General

Four capacitors are connected in a circuit as shown in the figure. The effective capacitance in $mu F$ between points A and B will

Four capacitors are connected in a circuit as shown in the figure. The effective capacitance in $mu F$ between points A and B will

Physics-General

The equivalent capacitance between $A$ and $B$ in the figure is $1 mu F$ . Then the value of capacitance $C$ is

The equivalent capacitance between $A$ and $B$ in the figure is $1 mu F$ . Then the value of capacitance $C$ is

Physics-General

parallel

The total capacity of the system of capacitors shown in the adjoining figure between the points $A$ and $B$ is

The total capacity of the system of capacitors shown in the adjoining figure between the points $A$ and $B$ is

Physics-General

Four capacitors are connected as shown in the equivalent capacitance between the points P and Q is

Four capacitors are connected as shown in the equivalent capacitance between the points P and Q is

Physics-General

In the circuit shown in the figure, the potential difference across the 4.5 $mu F$ capacitor is

In the circuit shown in the figure, the potential difference across the 4.5 $mu F$ capacitor is

Physics-General

parallel

A condenser having a capacity of 6 $mu F$ is charged to 100 V and is then joined to an uncharged condenser of $14 mu F$ and then removed. The ratio of the charges on 6 $mu F$ and 14 $mu F$ and the potential of 6 $mu F$ will be

A condenser having a capacity of 6 $mu F$ is charged to 100 V and is then joined to an uncharged condenser of $14 mu F$ and then removed. The ratio of the charges on 6 $mu F$ and 14 $mu F$ and the potential of 6 $mu F$ will be

Physics-General

What is the equivalent capacitance between $A$ and $B$ in the given figure (all are in farad)

What is the equivalent capacitance between $A$ and $B$ in the given figure (all are in farad)

Physics-General

In the following circuit, the resultant capacitance between $A$ and $B$ is 1 $mu F$ . Then value of $C$ is

In the following circuit, the resultant capacitance between $A$ and $B$ is 1 $mu F$ . Then value of $C$ is

Physics-General

parallel

The resultant capacitance between $A$ and $B$ in the following figure is equal to

The resultant capacitance between $A$ and $B$ in the following figure is equal to

Physics-General

In the connections shown in the adjoining figure, the equivalent capacity between $A$ and $B$ will be

In the connections shown in the adjoining figure, the equivalent capacity between $A$ and $B$ will be

Physics-General

In the adjoining figure, four capacitors are shown with their respective capacities and the P.D. applied. The charge and the P.D. across the $4 mu F$ capacitor will be

In the adjoining figure, four capacitors are shown with their respective capacities and the P.D. applied. The charge and the P.D. across the $4 mu F$ capacitor will be

Physics-General

parallel

card img

With Turito Academy.

card img

With Turito Foundation.

card img

Get an Expert Advice From Turito.

Turito Academy

card img

With Turito Academy.

Test Prep

card img

With Turito Foundation.