Question
Calculate the equivalent resistance between A and B in the adjacent diagram.
✓
Answer
$
\begin{aligned}
& R _1=3+2=5 ohm \\
& R _2=30 W \\
& R _3=6+4=10 ohm
\end{aligned}
$
$R _1, R _2$ and $R _3$ are connected in parallel
$
\begin{aligned}
& \frac{1}{ R }=\frac{1}{ R _1}+\frac{1}{ R _2}+\frac{1}{ R _3} \\
& =\frac{1}{5}+\frac{1}{30}+\frac{1}{10}=\frac{10}{30}
\end{aligned}
$
$
R =3 ohm
$
\begin{aligned}
& R _1=3+2=5 ohm \\
& R _2=30 W \\
& R _3=6+4=10 ohm
\end{aligned}
$
$R _1, R _2$ and $R _3$ are connected in parallel
$
\begin{aligned}
& \frac{1}{ R }=\frac{1}{ R _1}+\frac{1}{ R _2}+\frac{1}{ R _3} \\
& =\frac{1}{5}+\frac{1}{30}+\frac{1}{10}=\frac{10}{30}
\end{aligned}
$
$
R =3 ohm
$
Need a full question paper?
Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.
Explore more
Similar questions
The refractive index of air with respect to glass is defined: as $g _{ a }=\sin i / \sin r$ If $r=90^{\circ}$,
what is the corresponding angle i called?
→what is the corresponding angle i called?
A block and tackle system of pulleys has a velocity ratio of 4.
(i) Draw a labelled diagram of the system indicating clearly the points of application and directions of load and effort.
(ii) What is the value of the mechanical advantage of the given pulley system if it is an ideal pulley system?
(i) Draw a labelled diagram of the system indicating clearly the points of application and directions of load and effort.
(ii) What is the value of the mechanical advantage of the given pulley system if it is an ideal pulley system?
The circuit diagram (Fig .) shows three resistors 2 Ω, 4 Ω and RΩ connected to a battery of e.m.f. 2 V and internal resistance 3 Ω. A main current of 0 .25
A flows through the circuit.
A flows through the circuit.
(i ) What is the p.d . across the 4 Ω resistor?
(ii ) Calculate the p.d . across the in ternal resistance of the cell.
(iii ) What is the p.d . across the R Ω or 2 Ω resistors?
(iv) Calculate the value of R.
In a house there are 6 bulbs of 100 W each used for 4 hours a day, 4 bulbs of 60 W each used for 8 hours a day, an immersion heater of 2.5 kW used for 1 hour per day, and an electric iron of 800 W used for 2 hours per day. Calculate the cost of monthly electric bill for the month of April at the rate of 80 p per unit.
The refractive index of air with respect to glass is defined: as ${ }_g \mu_a=\sin i / \sin r$
Write down a similar expression for $a _{ g }$ in terms of angle i and r .
→Write down a similar expression for $a _{ g }$ in terms of angle i and r .
A light ray suffers reflection and refraction at the boundary in passing from air to water. Draw a neat labelled ray diagram to show it.
Give a reason, why the violet colour of white light deviated most and red colour of white light deviated least.
A 0.6 m long stretched wire is made to vibrate in two different modes as shown in figure
(a)
(b)
(i) If the frequency of the note produced in (b) is n, what is the frequency in case (a)?
(ii) In which case (a) or (b), is the note louder? Give reasons.
(iii) In which case is the pitch higher? Give reason.
(a)
(b)
(i) If the frequency of the note produced in (b) is n, what is the frequency in case (a)?
(ii) In which case (a) or (b), is the note louder? Give reasons.
(iii) In which case is the pitch higher? Give reason.
Write down differences between heat and temperature.
A ray of light enters a glass slab ABDC as shown in fig. 4.59 and strikes at the centre O of the circular part AC of the slab. The critical angle of glass is 42°. Complete the path of the ray till it
emerges out from the slab. Mark the angles in the diagram wherever necessary.
emerges out from the slab. Mark the angles in the diagram wherever necessary.