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Question 15 Marks

Complete the incomplete figure and give an explanation:


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Answer
Maharashtra Board Class 9 Science Solutions Chapter 3 Current Electricity 39
If the physical state of a conductor remains constant, the current (I) flowing through it is directly proportional to the potential difference (V) between its two ends.I α V
I = kV (k = constant of proportionality)
Maharashtra Board Class 9 Science Solutions Chapter 3 Current Electricity 40
This is known as Ohm’s law.
We can obtain the SI unit of resistance from the above formula, Potential difference and current are measured in Volts and Amperes respectively. The unit o resistance is called Ohm. It is indicated by the symbol Ω.
Maharashtra Board Class 9 Science Solutions Chapter 3 Current Electricity 41
The resistance of one Ohm : If one Ampere current flows through a conductor when one Volt potential difference is applied between its ends, then the resistance of the conductor is one Ohm.
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Question 25 Marks
Show motion of electrons in an circuit and explain precautions while using an electrical device.
Answer

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  • Electric switches and sockets should be fitted at a height at which small children cannot reach and put pins or nails inside. Plug wires should not be pulled while removing a plug from its socket.
  • Before cleaning an electrical appliance it should be switched off and its plug removed from the socket.
  • One’s hands should be dry while handling an electrical appliance, and, as far as possible, one should use footwear with rubber soles.
  • As rubber is an insulator, it prevents the current from flowing through our body, thereby protecting it.
  • If a person gets an electric shock, you should not touch that person. You should switch off the main switch or remove the plug from the socket if possible.
  • 1f not, then you should use a wooden pole to push the person away from the electric wire.
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Question 35 Marks

Make the concept diagram of an electrical circuit and explain the working of a fuse. Image
Answer

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  • Fuse wire is used to protect domestic appliances.
  • It is made of a mixture of substances and has a specific melting point.
  • It is connected in series to the electric appliances. If for some reason, the current in the circuit increases excessively, the fuse wire gets heated and melts. The circuit gets broken and the flow of current stops, thus protecting the appliance.
  • This wire is fitted in a groove in a body of porcelain-like non-conducting material. For domestic use, fuse wires with upper limits of 1A, 2A, 3A, 4A, 5A, and lO Aareused.
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Question 45 Marks
Find the expression for resistivity of a material.
Answer
(i) At a given temperature, the resistance (R) of a conductor depends on its length (L), area of cross-section (A) and the material it is made of. If the resistance of a conductor is R, then
Maharashtra Board Class 9 Science Solutions Chapter 3 Current Electricity 34
(ii) p is the constant of proportionality and is called the resistivity of the material.
(iii) The unit of resistivity in SI units is Ohm metre (Ω m).
(iv) Resistivity is a specific property of a material and different materials have different resistivity. ’
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Question 55 Marks
Find the expression (i.e., derive the expression) for the resistors connected in parallel.
Answer

Expression for the resistance connected in parallel.
(i) Let $R_1, R_2$ and $R_3$ be the three resistances connected in parallel combination between points C and D and let R be their effective resistance.
(ii) Let $I_1, I_2$ and $I_3$ be the currents flowing through resistances $R_1, R_2$ and $R_3$ respectively. Let I be the current flowing through the circuit and V be the potential difference of the cell.

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(iii) For parallel combination of resistances,

Maharashtra Board Class 9 Science Solutions Chapter 3 Current Electricity 32

(iv) Substituting the values of ($I, I_1, I_2$ and $I_3$) in equation (i) we get​​​​​​​

Maharashtra Board Class 9 Science Solutions Chapter 3 Current Electricity 33
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Question 65 Marks
Find the expression (i.e., derive the expression) for the resistors connected in series.
Answer
Expression for the resistance connected in series:
(i) Let $R_1, R_2$ and $R_3$ be three resistances connected in series between $C$ and $D$.
(ii) Let $R_s$ be the effective resistance in circuit and $V_1, V_2$ and $V_3$ be the potential difference across $R_1, R_2$ and $R_3$ respectively.
(iii) Let the potential difference across CD be V .

Maharashtra Board Class 9 Science Solutions Chapter 3 Current Electricity 30

(iv) In series combination.
$v=v_1+v_2+v_3$
By using Ohm's law
$V=IR_{s} \\
\therefore V_1=IR_1, V_2=I_2 \text { and } V_3=1 R_3$
Substituting these values in equation (j) we get
$I R_S=I R_1+I R_2+I R_3 \\
\therefore R_s=R_1+R_2+R_3$
For ' $n$ ' number of resistors conneded in series we get
$R_s=R_1+R_2+R_3+\ldots \ldots \ldots \ldots \ldots \ldots \ldots+R_n$
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Answer the following question. - Science STD 9 Questions - Vidyadip