Embibe Experts Solutions for Chapter: Current Electricity, Exercise 1: assam board-2018

Determine the equivalent resistance of the network given below and the total current going out of the battery. Given each resister has a resistance of $1\Omega$.

In the following network, $I_1=\frac{5}{2}A, I_2=\frac{5}{8}A$ and $I_3=\frac{15}{8}A$.Calculate total voltage drop over the closed loop BADEB.

 

find the equivalent resistance across the terminal A and B.

Shown in the figure below

How would you connect resistance $1\Omega , 2\Omega and 3\Omega$ so as to get an equivalent resistance of $3·66\Omega$. Draw a required circuit diagram.

Draw a circuit diagram required to compare the e.m.fs. of two cells using potentiometer. Write also mathematical formula required for it.

When a coil of area $5m^2$ and number of turns $100$ is placed  perpendicular to a magnetic field of $10T$, the flux passing through it is $5\times {10}^3$Wb. If the coil is removed from field in $0·1s$, calculate the induced e.m.f.

In the following diagram, the potential difference between the points $\mathrm{A} \mathrm{and} \mathrm{B}$ is $\mathrm{V}$ Find an expression for the total current. Show that.

$\mathrm{V}=\frac{{\mathrm{E}}_1 {\mathrm{r}}_1+{\mathrm{E}}_2 {\mathrm{r}}_2}{{\mathrm{r}}_1+{\mathrm{r}}_2}-\mathrm{I}\frac{{\mathrm{r}}_1 {\mathrm{r}}_{}}{{\mathrm{r}}_1+{\mathrm{r}}_3}$

${\mathrm{R}}_1 \mathrm{and} {\mathrm{R}}_2$ are two resisters ${\mathrm{R}}_{\mathrm{eq}\left(\mathrm{s}\right)}\mathrm{and} {\mathrm{R}}_{\mathrm{eq}\left(\mathrm{p}\right)}$ are their equivalent resistances when they are connected in (1) series and (2 ) in parallel. Draw two circuit diagrams for (1) and (2) and show that ${\mathrm{R}}_{3\mathrm{q}\left(\mathrm{s}\right)}\times {\mathrm{R}}_{\mathrm{eq}\left(\mathrm{p}\right)}={\mathrm{R}}_1 \times {\mathrm{R}}_2$.