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Physics-

General

Easy

Question

A number of capacitors, each of equal capacitance $C$ , are arranged as shown in Fig. The equivalent capacitance between $A$ and $B$ is

$n^{2} C$
$(2 n + 1) C$
$\frac{(n - 1) n}{2} C$
$\frac{(n + 1) n}{2} C$

The correct answer is: $fraction numerator open parentheses n plus 1 close parentheses n over denominator 2 end fraction C$

Related Questions to study

Two capacitors $A$ and $B$ with capacities $C_{1}$ and $C_{2}$ are charged to potential difference of $V_{1}$ and $V_{2}$ , respectively. The plates of the capacitors are connected as shown in the figure with one wire free from each capacitor. The upper plate of $A$ is positive and that of $B$ is negative. An uncharged capacitor of capacitance $C_{3}$ and lead wires falls on the free ends to complete circuit, then

Two capacitors $A$ and $B$ with capacities $C_{1}$ and $C_{2}$ are charged to potential difference of $V_{1}$ and $V_{2}$ , respectively. The plates of the capacitors are connected as shown in the figure with one wire free from each capacitor. The upper plate of $A$ is positive and that of $B$ is negative. An uncharged capacitor of capacitance $C_{3}$ and lead wires falls on the free ends to complete circuit, then

physics-General

Find the charge that will flow through the wire $A$ to $B$ if the switch $S$ is closed. The capacitance of each capacitor shown in the figure is $C$

Find the charge that will flow through the wire $A$ to $B$ if the switch $S$ is closed. The capacitance of each capacitor shown in the figure is $C$

physics-General

A 20 $μ F$ capacitor is connected to 45 V battery through a circuit whose resistance is 2000 $Ω .$ What is the final charge on the capacitor?

We know that in steady state the capacitor behaves like as an open circuit

i e

, capacitor will not pass the current.

So, the potential difference across the capacitor = 45 V Hence , the final charge on the capacitor is

q = C V

C = 20 μ F, V = 45 V

∴ q = 20 \times 10^{- 6} \times 45

q = 900 \times 10^{- 6}

q = 9 \times 10^{- 4} C

A 20 $μ F$ capacitor is connected to 45 V battery through a circuit whose resistance is 2000 $Ω .$ What is the final charge on the capacitor?

physics-General

We know that in steady state the capacitor behaves like as an open circuit

i e

, capacitor will not pass the current.

So, the potential difference across the capacitor = 45 V Hence , the final charge on the capacitor is

q = C V

C = 20 μ F, V = 45 V

∴ q = 20 \times 10^{- 6} \times 45

q = 900 \times 10^{- 6}

q = 9 \times 10^{- 4} C

parallel

Select the correct statement(s) A Microbial experiment show the pre-existing advantageous mutations when selected will result in the observation of new phenotypes Over few generation this would result in speciation B Neanderthal fossils represent a human relative C In 1938, a fish caught in South Africa happened to be a coelacanth (lobe fins) which was thought to be extinct These animals evolved into the first amphibian living on both land and water D Lichens can be used as water pollution indicators E Alfred Wallace, a natur st, who worked in Malay Archepelago (present Indonesia) has also come to similar conclusion on natural selection as reached by Darwinism

Select the correct statement(s) A Microbial experiment show the pre-existing advantageous mutations when selected will result in the observation of new phenotypes Over few generation this would result in speciation B Neanderthal fossils represent a human relative C In 1938, a fish caught in South Africa happened to be a coelacanth (lobe fins) which was thought to be extinct These animals evolved into the first amphibian living on both land and water D Lichens can be used as water pollution indicators E Alfred Wallace, a natur st, who worked in Malay Archepelago (present Indonesia) has also come to similar conclusion on natural selection as reached by Darwinism

A definition of the term "Species" based on reproduction has distinct limitations, which include its

A definition of the term "Species" based on reproduction has distinct limitations, which include its

Hugo deVries'theory of mutation:

Hugo deVries'theory of mutation:

parallel

The material used in determining the age of a fossil is:

The material used in determining the age of a fossil is:

Evolutionary convergence is the development of:

Evolutionary convergence is the development of:

Darwin's finches represents:

Darwin's finches represents:

parallel

Organisms which obtain energy by the oxidation of reduced inorganic compounds are called:

Organisms which obtain energy by the oxidation of reduced inorganic compounds are called:

Finding of Miller's experiment on origin of life has provided evidence for:

Finding of Miller's experiment on origin of life has provided evidence for:

The number of codons that code different amino acids is -

The number of codons that code different amino acids is -

parallel

Assertion (A):If $a > 0, b > 0$ and $c > 0$ , then $(a + b + c) (\frac{1}{a} + \frac{1}{b} + \frac{1}{c}) \geq 9$ Reason (R): For positive numbers $a,$ $b,$ $c,$ $A M \geq G M$

A M \geq G M

= ≻ \frac{\frac{1}{a} + \frac{1}{b} + \frac{1}{c}}{3} \geq (\begin{matrix} 111 \\ - & - \\ \bar{b} a . & c \end{matrix}) \to (1)

D : x^{2} - 3 x - 4 < 0 \supset (x + 1) (x - 4) < 0 \Rightarrow 1 < x < 4

x^{2} - 3 x + 2 > 0 R e j e c t x - 2) (x - 1) > 0 = x < 1 a^{r} x > 2

\frac{(a + b + c)}{3} \geq (a b c)^{\frac{1}{3}} \to (2)

multiply (1) and (2)

Assertion (A):If $a > 0, b > 0$ and $c > 0$ , then $(a + b + c) (\frac{1}{a} + \frac{1}{b} + \frac{1}{c}) \geq 9$ Reason (R): For positive numbers $a,$ $b,$ $c,$ $A M \geq G M$

A M \geq G M

= ≻ \frac{\frac{1}{a} + \frac{1}{b} + \frac{1}{c}}{3} \geq (\begin{matrix} 111 \\ - & - \\ \bar{b} a . & c \end{matrix}) \to (1)

D : x^{2} - 3 x - 4 < 0 \supset (x + 1) (x - 4) < 0 \Rightarrow 1 < x < 4

x^{2} - 3 x + 2 > 0 R e j e c t x - 2) (x - 1) > 0 = x < 1 a^{r} x > 2

\frac{(a + b + c)}{3} \geq (a b c)^{\frac{1}{3}} \to (2)

multiply (1) and (2)

The length of the chord joining the points $(4 \cos θ, 4 \sin θ)$ and $(4 \cos (θ + 60 °), 4 \sin (θ + 60 °)$ of the circle $x^{2} + y^{2} = 16$ is

The length of the chord joining the points $(4 \cos θ, 4 \sin θ)$ and $(4 \cos (θ + 60 °), 4 \sin (θ + 60 °)$ of the circle $x^{2} + y^{2} = 16$ is

In an orbital motion, the angular momentum vector is

In an orbital motion, the angular momentum vector is

Physics-General

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