Priyanka B Solutions for Chapter: Electricity, Exercise 8: Assignment-4

$n$ resistors each of resistance $R$ are connected in series in a circuit. What is the total effective resistance of the circuit?

Draw a schematic diagram of a circuit consisting of battery of two cells each of $1.5 \mathrm{V}, 5 \mathrm{\Omega }$ resistor, $10 \mathrm{\Omega }$ resistor and $15 \mathrm{\Omega }$ resistor and a plug key, all connected in series.

Two metallic wires $A$ and $B$ are connected in series. Wire $A$ has length $l$ and radius $r,$ while wire $B$ has length $2l$ and radius $2r.$ Find the ratio of the total resistance of series combination and the resistance of wire $A,$ if both the wires are of same material.

Draw a schematic diagram of a circuit consisting of $24 \mathrm{V}$ battery, a $10 \mathrm{ohm}$ resistor, a $5 \mathrm{ohm}$ resistor, a $1 \mathrm{ohm}$ resistor, an ammeter and a plug key, all connected in series. Calculate the ammeter reading in this circuit.

How will you infer with the help of an experiment that same current flows through every part of the circuit containing three resistances in series connected to a battery?

Resistors are given as $R_1=10 \mathrm{\Omega }, {\mathrm{R}}_2=20 \mathrm{\Omega }$ and $R_3=30 \mathrm{\Omega }.$ Calculate the effective resistance when they are connected in series. Also, calculate the current flowing when the combination is connected to a $6 \mathrm{V}$ battery.

$3$ resistors $R_1, R_2$ and $R_3$ are connected in series to a battery $V.$ Draw the circuit diagram showing the arrangement. Derive an expression for the equivalent resistance of the combination.