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Physics
UTME / JAMB 2010
Current Electricity
Solution
In Faradays law of electrolysis, a graph of the mass deposited against the quantity of electricity is plotted. The slope of the graph gives?
A
the energy released
B
the electrochemical equivalent
C
the current flowing
D
the charge released
medium Difficulty
Verified Correct Answer: Option B
Physical Principles & Numerical Solution
In Faradays law of electrolysis
M = It = Q
Where M is the mass of substance deposit . Q is the quantity of charge. A graph of m against Q is a straight line passing through the origin with slope equal to the electrochemical equivalent.Z
Source: WAEC / JAMB / NECO Classroom Archive (Record #14520)
Physics
UTME / JAMB 2009
Current Electricity
Diagram
Solution
Calculate the e.m.f of the cell in the above circuit if its internal resistance is negligible
Attached Figure / Diagram
A
12 V
B
8 V
C
2 V
D
36 V
medium Difficulty
Verified Correct Answer: Option B
Physical Principles & Numerical Solution
1/R = 1/R1 + 1/R2 = 1/3 + 1/6
= 3/6
∴ R = 6/3 = 2
E = I(R + r) = 4(2 + 0) = 8v
Source: WAEC / JAMB / NECO Classroom Archive (Record #14504)
Physics
UTME / JAMB 2008
Current Electricity
Solution
An electric generator has e.m.f. of 240 V and an internal resistance of 1Ω if the current supplied by the generator is 20A when the terminal voltage is 220 V, find the ratio of the power supplied to the power dissipated?
A
11:1
B
1:11
C
12:11
D
11:12
medium Difficulty
Verified Correct Answer: Option A
Physical Principles & Numerical Solution
Power supplied = I\(^2\) R = 20\(^2\) X 1 = 400 W
Power dissipated = IV = 20 X 220 = 4400 W
(Power supplied)/Power dissipated = 4400 W / 400 W
= 11 / 1 or 11 : 1
Source: WAEC / JAMB / NECO Classroom Archive (Record #14068)
Physics
UTME / JAMB 2008
Current Electricity
Diagram
Solution
Find the effective resistance in the diagram above
Attached Figure / Diagram
A
6 Ω
B
12 Ω
C
18 Ω
D
24 Ω
medium Difficulty
Verified Correct Answer: Option D
Physical Principles & Numerical Solution
The resistors are in series
∴ Reff = R1 + R2 + .....
= 4 + 4 + 4 + 4 + 4 + 4 = 24 \Omega
Source: WAEC / JAMB / NECO Classroom Archive (Record #14491)
Physics
WAEC / WASSCE 2005
Current Electricity
Solution
Which of the following statements explains lost volt in an electric circuit? The
A
total p.d from a source to maintain a flow of current through the circuit as well as the source
B
p.d to drive current through the circuit component except the source
C
p.d across all external components connected to the source of electricity
D
p.d across the internal resistance of the cell
medium Difficulty
Verified Correct Answer: Option D
Physical Principles & Numerical Solution
The lostvolt is the potential drop in a cell due to internal resistance.
Source: WAEC / JAMB / NECO Classroom Archive (Record #34541)
Physics
UTME / JAMB 2004
Current Electricity
Solution
Electrical appliances at home are normally earthed so that?
A
the appliances are maintained at a lower p.d than the earth
B
both the a.c and d.c sources can be used
C
a person touching the appliances is safe from electric shock
D
the appliances are maintained at a higher p.d than the earth
medium Difficulty
Verified Correct Answer: Option C
Physical Principles & Numerical Solution
Earthing is used to protect you from an electric shock. It does this by providing a path (a protective conductor) for a fault current to flow to earth. It also causes the protective device (either a circuit-breaker or fuse) to switch off the electric current to the circuit that has the fault.
Source: WAEC / JAMB / NECO Classroom Archive (Record #12803)
Physics
NECO SSCE 2002
Current Electricity
Solution
When a current of 1 .0A flows in an electrolyte for 3.0h, a mass of 1 .0g is deposited. What mass will be deposited in 10.0h if a current of 3.0A flows through the electrolyte?
A
30.0g
B
24.0g
C
10.0g
D
6.0g
E
0.4g
medium Difficulty
Verified Correct Answer: Option C
Physical Principles & Numerical Solution
Q = charge
i = current
t = time in sec
Mass(M1)
3hours to sec
60*60*3= 10800
Mass(M2)
10hours to sec
60*60*10 = 36,000
36,000 * 3.0A = 108,000
if it takes 10800 current to discharge 1g
how much will it take 108000
10800---->1
108000---x
= 108000/10800
=10
Source: WAEC / JAMB / NECO Classroom Archive (Record #42888)
Physics
UTME / JAMB 2001
Current Electricity
Diagram
Solution
Which of the following graphs correctly represents the variation of mass of a given material deposited with time for constant current in Faraday's Law of Electrolysis?
Attached Figure / Diagram
A
A
B
B
C
C
D
D
medium Difficulty
Verified Correct Answer: Option A
Physical Principles & Numerical Solution
According to Faraday's Law, the mass of the substance deposited is directly proportional to the time for which the current flows, assuming a constant current. Therefore, the graph should show a linear increase in mass over time, which corresponds to option A
Source: WAEC / JAMB / NECO Classroom Archive (Record #70698)
Physics
WAEC / WASSCE 1999
Current Electricity
Diagram
Solution
Using the data on the diagram above, calculate the potential difference across the 20- Ω resistor. (Neglect the internal resistance of the cell)
Attached Figure / Diagram
A
5V
B
10V
C
20V
D
60V
medium Difficulty
Verified Correct Answer: Option D
Physical Principles & Numerical Solution
Voltage across 5\Omega resistor = IR = 2 \times 5 = 10V
Since voltage in a parallel connection is the same, voltage across 10\Omega is also 10V
Current flowing across the 10\Omega resistor
I = V/R = 10/10
Current I= 1A
Total current flowing = 2 + 1 = 3A
Voltage across 20\Omega resistor = IR
= 3 \times 20
= 60V
Source: WAEC / JAMB / NECO Classroom Archive (Record #25497)
Physics
WAEC / WASSCE 1995
Current Electricity
Diagram
Solution
If the current in the resistor R in diagram above is 0.05A, calculate the p.d. across the inductor.
Attached Figure / Diagram
A
2.5V
B
25.0V
C
49.0V
D
50.0V
E
250.0V
medium Difficulty
Verified Correct Answer: Option A
Physical Principles & Numerical Solution
V= i \times \(_l\)
X\(_l\) = inductive reactance → 50
I = current → 0.05A
V = 0.05 \times 50
V = 2.5volt
Source: WAEC / JAMB / NECO Classroom Archive (Record #25093)
Physics
UTME / JAMB 1989
Current Electricity
Diagram
Solution
The total power drawn from the cell in the circuit above is
Attached Figure / Diagram
A
12W
B
24W
C
32W
D
40W
medium Difficulty
Verified Correct Answer: Option B
Physical Principles & Numerical Solution
Total resistance = resistance in series + resistance in parallel
= 4 + (\(\frac{4 \times 4}{4 + 4}\)) = 6\(\Omega\)
Total power drawn = \(\frac{V^2}{\text{R}}\) = \(\frac{12^2}{6}\) = 24W
Source: WAEC / JAMB / NECO Classroom Archive (Record #41688)
Physics
UTME / JAMB 1983
Current Electricity
Diagram
Solution
The diagram above shows three circuits, the internal resistances of the batteries are negligible. which of the currents is the largest
Attached Figure / Diagram
A
I1
B
I2
C
I3
D
I4
E
I5
medium Difficulty
Verified Correct Answer: Option E
Physical Principles & Numerical Solution
Current = \(\frac{\text{Voltage}}{\text{Resistance}}\)
I\(_1 = \frac{10}{2}\) = 5A
I\(_2 = \frac{10}{1}\) = 10A
I\(_3 = \frac{20}{3}\) = 6.67A
I\(_4 = \frac{20}{2}\) = 10A
I\(_5 = \frac{20}{1}\) = 20A
Source: WAEC / JAMB / NECO Classroom Archive (Record #41641)
Physics
UTME / JAMB 1980
Current Electricity
Diagram
Solution
What is the total resistance in the above diagram?
Attached Figure / Diagram
A
5 ohms
B
15 ohms
C
25 ohms
D
35 ohms
E
45 ohms
medium Difficulty
Verified Correct Answer: Option C
Physical Principles & Numerical Solution
Resistance in series will be given as R = 10+10 → 20
Resistance in parallel will be given as \(\frac{1}{R}\) = \(\frac{1}{10}\) + \(\frac{1}{10}\)
\(\frac{1}{R}\) = \(\frac{2}{10}\) → \(\frac{1}{R}\) = \(\frac{1}{5}\)
Resistance in parallel = 5
Total resistance = 20 + 5 → 25ohms
Source: WAEC / JAMB / NECO Classroom Archive (Record #41608)