In the given circuit,calculate $(i)$ total resistance of the circuit,and (ii) current shown by the ammeter.
(N/A) $(i)$ Since $R_{1}$ and $R_{2}$ are in series,their resultant resistance,
$R_{S} = R_{1} + R_{2} = 3 + 2 = 5 \Omega$
Further,$R_{S}$ and $R_{3}$ are in parallel,their resultant resistance is given by
$R_{P} = \frac{R_{S} \times R_{3}}{R_{S} + R_{3}} = \frac{5 \times 5}{5 + 5} = 2.5 \Omega$
(ii) Also,the current $I$ shown by the ammeter is given by Ohm's law:
$I = \frac{V}{R_{P}} = \frac{2.5 \text{ V}}{2.5 \Omega} = 1 \text{ A}$
$R_{S} = R_{1} + R_{2} = 3 + 2 = 5 \Omega$
Further,$R_{S}$ and $R_{3}$ are in parallel,their resultant resistance is given by
$R_{P} = \frac{R_{S} \times R_{3}}{R_{S} + R_{3}} = \frac{5 \times 5}{5 + 5} = 2.5 \Omega$
(ii) Also,the current $I$ shown by the ammeter is given by Ohm's law:
$I = \frac{V}{R_{P}} = \frac{2.5 \text{ V}}{2.5 \Omega} = 1 \text{ A}$
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$(a)$ What is meant by saying that the potential difference between two points is $1$ volt?
$(b)$ Why does the connecting cord of an electrical heater not glow while the heating element does?
$(c)$ Electrical resistivities of some substances at $20^{\circ}C$ are given below:
Silver $1.60 \times 10^{-8} \, \Omega m$ Copper $1.62 \times 10^{-8} \, \Omega m$ Tungsten $5.2 \times 10^{-8} \, \Omega m$ Iron $10.0 \times 10^{-8} \, \Omega m$ Mercury $94.0 \times 10^{-8} \, \Omega m$ Nichrome $100 \times 10^{-6} \, \Omega m$
Answer the following questions in relation to them:
$(i)$ Among silver and copper, which one is a better conductor? Why?
$(ii)$ Which material would you advise to use in electrical heating devices? Why?
$(b)$ Why does the connecting cord of an electrical heater not glow while the heating element does?
$(c)$ Electrical resistivities of some substances at $20^{\circ}C$ are given below:
| Silver | $1.60 \times 10^{-8} \, \Omega m$ |
| Copper | $1.62 \times 10^{-8} \, \Omega m$ |
| Tungsten | $5.2 \times 10^{-8} \, \Omega m$ |
| Iron | $10.0 \times 10^{-8} \, \Omega m$ |
| Mercury | $94.0 \times 10^{-8} \, \Omega m$ |
| Nichrome | $100 \times 10^{-6} \, \Omega m$ |
Answer the following questions in relation to them:
$(i)$ Among silver and copper, which one is a better conductor? Why?
$(ii)$ Which material would you advise to use in electrical heating devices? Why?
Medium
View SolutionFind out the following in the electric circuit given in the figure:
$(a)$ Effective resistance of two $8\, \Omega$ resistors in the combination.
$(b)$ Current flowing through $4\, \Omega$ resistor.
$(c)$ Potential difference across $4\, \Omega$ resistor.
$(d)$ Power dissipated in $4\, \Omega$ resistor.
$(e)$ Difference in ammeter readings,if any.
$(a)$ Effective resistance of two $8\, \Omega$ resistors in the combination.
$(b)$ Current flowing through $4\, \Omega$ resistor.
$(c)$ Potential difference across $4\, \Omega$ resistor.
$(d)$ Power dissipated in $4\, \Omega$ resistor.
$(e)$ Difference in ammeter readings,if any.
Medium
View SolutionExplain the following.
$(a)$ Why is the series arrangement not used for domestic circuits?
$(b)$ How does the resistance of a wire vary with its area of cross-section?
$(a)$ Why is the series arrangement not used for domestic circuits?
$(b)$ How does the resistance of a wire vary with its area of cross-section?
Medium
View SolutionSonika is working with the circuit shown in the figure. There are two open terminals in the circuit: $X$ and $Y$. She has wires made of five different materials: $I, II, III, IV,$ and $V$. She knows that the electric bulb will glow only when wires made of conducting materials are connected across both open terminals. She records her observations in a table. After the experiment,ink spills on the paper,and she loses the information for the third row.
$S.No.$ Material at $X$ Material at $Y$ Electric Bulb ($ON$/$OFF$) $1$ $I$ $II$ $OFF$ $2$ $I$ $IV$ $ON$ $3$ - - $OFF$ $4$ $III$ $V$ $ON$
Based on the remaining information in the table,which materials could be in the third row?
| $S.No.$ | Material at $X$ | Material at $Y$ | Electric Bulb ($ON$/$OFF$) |
| $1$ | $I$ | $II$ | $OFF$ |
| $2$ | $I$ | $IV$ | $ON$ |
| $3$ | - | - | $OFF$ |
| $4$ | $III$ | $V$ | $ON$ |
Based on the remaining information in the table,which materials could be in the third row?
Two resistors are connected in series as shown in the diagram. $(i)$ What is the current through the $5 \, \Omega$ resistor? (ii) What is the current through $R$? (iii) What is the value of $R$? (iv) What is the value of $V$?
Medium
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