Combination of Resistors

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Six equal resistances are connected between points $P, Q$ and $R$ as shown in the figure. Then, the net resistance will be maximum between

P

and

Q

(B)

Q

and

R

(C)

P

and

R

(D)

any two points

LEVELJEE Main

The effective resistance between points $P$ and $Q$ of the electrical circuit shown in the figure is

(A)

\frac{2 R r}{R + r}

(B)

\frac{8 R ( R + r )}{3 R + r}

(C)

2 r + 4 R

(D)

\frac{5 R}{2} + 2 r

LEVELJEE Main

The equivalent resistance between points $A$ and $B$ of the circuit given below is ....... .

LEVELJEE Advanced

An infinite ladder network of resistances is constructed with $1 Ω$ and $2 Ω$ resistances, as shown in figure. The 6 V battery between $A$ and $B$ has negligible internal resistance. (a) Show that the effective resistance between $A$ and $B$ is $2 Ω$ . (b) What is the current that passes through the $2 Ω$ resistance nearest to the battery?

JEE Advanced 2012

LEVELJEE Advanced

For the resistance network shown in the figure, choose the correct option(s).

* Multiple Correct Options

(A)

The current through PQ is zero

(B)

I_{1} = 3

(C)

The potential at S is less than that at Q

(D)

I_{2} = 2

LEVELJEE Main

The current $i$ in the circuit (see figure) is

(A)

\frac{1}{45}

(B)

\frac{1}{15}

(C)

\frac{1}{10}

(D)

\frac{1}{5}

JEE Advanced 2009

LEVELJEE Advanced

For the circuit shown in the figure

* Multiple Correct Options

(A)

the current

I

through the battery is

7.5 mA

(B)

the potential difference across

R_{L}

18 V

(C)

ratio of powers dissipated in

R_{1}

and

R_{2}

3

(D)

R_{1}

and

R_{2}

are interchanged, magnitude of the power dissipated in

R_{L}

will decrease by a factor of

9

LEVELJEE Advanced

A battery of internal resistance $4 Ω$ is connected to the network of resistances as shown in figure. In order that the maximum power can be delivered to the network, the value of $R$ in $Ω$ should be

(A)

\frac{4}{9}

(B)

2

(C)

\frac{8}{3}

(D)

18

LEVELJEE Advanced

If each of the resistances in the network shown in the figure is $R$ , what is the resistance between the terminals $A$ and $B$ ?

LEVELJEE Main

All resistances in the diagram are in ohm. Find the effective resistance between the points A and B.

JEE Advanced 2015

LEVELJEE Advanced

In the following circuit, the current through the resistor $R (= 2Ω)$ is $I$ amperes. The value of $I$ is

LEVELJEE Main

In the circuit shown in the figure, the current through

(A)

the

3 Ω

resistor is

0.50 A

(B)

the

3 Ω

resistor is

0.25 A

(C)

the

4 Ω

resistor is

0.50 A

(D)

the

4 Ω

resistor is

0.25 A

JEE Main 2021

LEVELJEE Main

First, a set of $n$ equal resistors of $10 Ω$ each are connected in series to a battery of emf $20 V$ and internal resistance $10 Ω$ . A current $I$ is observed to flow. Then, the $n$ resistors are connected in parallel to the same battery. It is observed that the current is increased $20$ times, then the value of $n$ is ......... .

JEE Main 2021

LEVELBoard

A square shaped wire with resistance of each side $3Ω$ is bent to form a complete circle. The resistance between two diametrically opposite points of the circle in unit of $Ω$ will be

JEE Main 2021

LEVELJEE Main

The voltage drop across $15Ω$ resistance in the given figure will be ......... V.

LEVELJEE Main

The total current supplied to the circuit by the battery is

The current $I$ drawn from the $5 V$ source will be

A $16Ω$ wire is bend to form a square loop. A $9 V$ supply having internal resistance of $1Ω$ is connected across one of its sides. The potential drop across the diagonals of the square loop is ...... $\times 1 0^{- 1} V$ .

JEE Main 2019

LEVELJEE Main

A uniform metallic wire has a resistance of $18 Ω$ and is bent into an equilateral triangle. Then, the resistance between any two vertices of the triangle is

(A)

12 Ω

(B)

8 Ω

(C)

2 Ω

(D)

4 Ω

LEVELJEE Main

The resistance of the series combination of two resistances is $S$ . When they are joined in parallel, the total resistance is $P$ . If $S = n P$ , then the minimum possible value of $n$ is

A $3 V$ battery with negligible internal resistance is connected in a circuit as shown in the figure. The current $I$ in the circuit will be

(A)

1 A

(B)

1.5 A

(C)

2 A

(D)

\frac{1}{3} A

JEE Main 2021

LEVELJEE Main

The ratio of the equivalent resistance of the network (shown in figure) between the points $a$ and $b$ when switch is open and switch is closed is $x : 8$ . The value of $x$ is

JEE Main 2019

LEVELJEE Main

The resistive network shown below is connected to a DC source of $16 V$ . The power consumed by the network is $4 W$ . The value of $R$ is

(A)

6 Ω

(B)

8 Ω

(C)

1 Ω

(D)

16 Ω

JEE Main 2019

LEVELJEE Advanced

In the given circuit, the internal resistance of the 18 V cell is negligible. If $R_{1} = 400 Ω$ , $R_{3} = 100 Ω$ and $R_{4} = 500 Ω$ and the reading of an ideal voltmeter across $R_{4}$ is 5 V, then the value of $R_{2}$ will be

(A)

550 Ω

(B)

230 Ω

(C)

300 Ω

(D)

450 Ω

JEE Main 2021

LEVELJEE Main

A copper (Cu) rod of length $25 cm$ and cross-sectional area $3 mm^{2}$ is joined with a similar aluminium (Al) rod as shown in figure. Find the resistance of the combination between the ends $A$ and $B$ . (Take, resistivity of copper $= 1.7 \times 1 0^{- 8} Ω -m$ , resistivity of aluminium $= 2.6 \times 1 0^{- 8} Ω -m$ )

(A)

2.170 m Ω

(B)

1.420 m Ω

(C)

0.0858 m Ω

(D)

0.858 m Ω

.math-text-wrapper .katex { font-size: 1.05em !important; } .math-text-wrapper .katex-display { margin: 1rem 0 !important; } Six equal resistances are connected between points P,Q and R as shown in the figure. Then, the net resistance will be maximum between

.math-text-wrapper .katex { font-size: 1.05em !important; } .math-text-wrapper .katex-display { margin: 1rem 0 !important; } The effective resistance between points P and Q of the electrical circuit shown in the figure is

.math-text-wrapper .katex { font-size: 1.05em !important; } .math-text-wrapper .katex-display { margin: 1rem 0 !important; } The equivalent resistance between points A and B of the circuit given below is ....... .

For the resistance network shown in the figure, choose the correct option(s).

.math-text-wrapper .katex { font-size: 1.05em !important; } .math-text-wrapper .katex-display { margin: 1rem 0 !important; } The current i in the circuit (see figure) is

For the circuit shown in the figure

.math-text-wrapper .katex { font-size: 1.05em !important; } .math-text-wrapper .katex-display { margin: 1rem 0 !important; } If each of the resistances in the network shown in the figure is R, what is the resistance between the terminals A and B ?

All resistances in the diagram are in ohm. Find the effective resistance between the points A and B.

.math-text-wrapper .katex { font-size: 1.05em !important; } .math-text-wrapper .katex-display { margin: 1rem 0 !important; } In the following circuit, the current through the resistor R(=2Ω) is I amperes. The value of I is

In the circuit shown in the figure, the current through

.math-text-wrapper .katex { font-size: 1.05em !important; } .math-text-wrapper .katex-display { margin: 1rem 0 !important; } The voltage drop across 15Ω resistance in the given figure will be ......... V.

The total current supplied to the circuit by the battery is

.math-text-wrapper .katex { font-size: 1.05em !important; } .math-text-wrapper .katex-display { margin: 1rem 0 !important; } The current I drawn from the 5 V source will be

.math-text-wrapper .katex { font-size: 1.05em !important; } .math-text-wrapper .katex-display { margin: 1rem 0 !important; } A uniform metallic wire has a resistance of 18 Ω and is bent into an equilateral triangle. Then, the resistance between any two vertices of the triangle is

.math-text-wrapper .katex { font-size: 1.05em !important; } .math-text-wrapper .katex-display { margin: 1rem 0 !important; } A 3 V battery with negligible internal resistance is connected in a circuit as shown in the figure. The current I in the circuit will be

.math-text-wrapper .katex { font-size: 1.05em !important; } .math-text-wrapper .katex-display { margin: 1rem 0 !important; } The ratio of the equivalent resistance of the network (shown in figure) between the points a and b when switch is open and switch is closed is x:8. The value of x is

.math-text-wrapper .katex { font-size: 1.05em !important; } .math-text-wrapper .katex-display { margin: 1rem 0 !important; } The resistive network shown below is connected to a DC source of 16 V. The power consumed by the network is 4 W. The value of R is

Six equal resistances are connected between points $P, Q$ and $R$ as shown in the figure. Then, the net resistance will be maximum between

The effective resistance between points $P$ and $Q$ of the electrical circuit shown in the figure is

The equivalent resistance between points $A$ and $B$ of the circuit given below is ....... .

The current $i$ in the circuit (see figure) is

If each of the resistances in the network shown in the figure is $R$ , what is the resistance between the terminals $A$ and $B$ ?

In the following circuit, the current through the resistor $R (= 2Ω)$ is $I$ amperes. The value of $I$ is

The voltage drop across $15Ω$ resistance in the given figure will be ......... V.

The current $I$ drawn from the $5 V$ source will be

A uniform metallic wire has a resistance of $18 Ω$ and is bent into an equilateral triangle. Then, the resistance between any two vertices of the triangle is

A $3 V$ battery with negligible internal resistance is connected in a circuit as shown in the figure. The current $I$ in the circuit will be

The ratio of the equivalent resistance of the network (shown in figure) between the points $a$ and $b$ when switch is open and switch is closed is $x : 8$ . The value of $x$ is

The resistive network shown below is connected to a DC source of $16 V$ . The power consumed by the network is $4 W$ . The value of $R$ is