Series Combination of Resistors

Q.

Five equal resistances are connected in a network as shown in the figure. The net resistance between points $A$ and $B$ is:

1. $\frac{3R}{2}$

2. $\frac{R}{2}$

3. $R$

4. $2R$

Q.

A wire of resistance $6\Omega$ is cut into three equal pieces, which are joined to form a triangle. The equivalent resistance between any two corners of the triangle is:

1. 2 Ohm

2. 4 Ohm

3. $\frac{3}{4}$ Ohm.

4. $\frac{4}{3}$ Ohm.

Q.

The current across each resistor connected in series is same.

1. False

2. True

Q.

Show how you would connect three resistors, each of resistance $6\mathrm{\Omega }$, so that the combination has a resistance of $4\mathrm{\Omega }$.

Q.

Find equivalent resistance of the given circuit.

1. $\frac{90\Omega }{43}$

2. $\frac{80\Omega }{43}$

3. $\frac{50\Omega }{43}$

4. $\frac{60\Omega }{43}$

Q. Question 4
Two conducting wires of the same material and of equal lengths and equal diameters are first connected in series and then parallel in a circuit across the same potential difference. The ratio of heat produced in series and parallel combinations would be –

(a) 1:2
(b) 2:1
(c) 1:4
(d) 4:1

Q.

Two conducting wires of the same material and of equal lengths and equal diameters are first connected in series and then parallel in a circuit across the same potential difference. The ratio of equivalent resistance in series and parallel combinations would be:

1. 1:2

2. 2:1

3. 1:4

4. 4:1

Q.

Three resistors $2\Omega ,3\Omega$ and $4\Omega$ are connected in series in a circuit. The total resistance of the circuit is

1. 8 Ω

2. 9 Ω

3. 10 Ω

4. 7 Ω

Q. The effective resistance between the points $X$ and $Y$ in the given circuit is

1. $8/3\Omega$
2. $8\Omega$
3. $4\Omega$
4. $2\Omega$

Q. When resistors are connected in series:

1. Voltage across each resistor is the same
2. Voltage across each resistor is different
3. Current through each resistor is different
4. Total resistance of the circuit decreases

Q. The equivalent resistance and potential difference between A and B for the circuit is respectively :-

1. $4\Omega ,8V$
2. $8\Omega ,4V$
3. $2\Omega ,2V$
4. $16\Omega ,8V$

Q. Electric components connected in connection recieve the same amount of irrespective of their position in the circuit.

1. series
2. parallel
3. power
4. current

Q.

In a series connection, the current flowing through all the resistors is the same.

1. True
2. False

Q.

The equivalent resistance between the points A & B in the circuit is:

1. $R_1+R_2$
2. $R_1+R_2+R_3$
3. $R_2+R_3$
4. $R_1+R_3$

Q. The circuits having only one path for electricity to flow, are known as

1. series circuits
2. domestic circuits
3. parallel circuits
4. open circuits

Q. Four wires each of the same length, diameter and material are connected to form a square. If the resistance of each wire is $R,$ then equivalent resistance across the opposite corners is :

1. $\frac{R}{6}$
2. $R$
3. $\frac{R}{2}$
4. $\frac{R}{4}$