356041
A complex current wave is given by \({i=5+5 \sin (100 \omega t) A}\). Its average value over one time period is given as
1 \(10\,A\)
2 \(5\,A\)
3 \({\sqrt{50} A}\)
4 0
Explanation:
\({i=5+5 \sin (100 \omega t)}\) average value, \( < i > = 5 + 5 < \sin (100\omega t) > \) In one time period, \( < \sin (100\omega t) > = 0\) \( < i > = 5\;A\)
PHXII07:ALTERNATING CURRENT
356042
Find the average value of current (in \(A\)) shown graphically in figure from \({t=0}\) to \({t=2 {~s}}\).
1 \(5\,A\)
2 \(3\,A\)
3 \(7\,A\)
4 \(9\,A\)
Explanation:
From the \({i-t}\) graph (figure), area from \({t=0}\) to \({t=2 {~s}}\) \(\frac{1}{2} \times 2 \times 10 = 10\) As \({\therefore}\) Average current \({=\dfrac{10}{2}=5 {~A}}\)
PHXII07:ALTERNATING CURRENT
356043
An alternating current ' \(i\) ' is given by \(i=i_{0} \sin 2 \pi(t / T+1 / 4)\). Then the avg current in the first one quarter time period is
1 \(\dfrac{2 i_{0}}{\pi}\)
2 \(\dfrac{I_{0}}{\pi}\)
3 \(\dfrac{I_{0}}{2 \pi}\)
4 \(\dfrac{3 I_{0}}{\pi}\)
Explanation:
\( < i>=\dfrac{\int_{0}^{T / 4} i d t}{\int_{0}^{T / 4} d t}\) Then, use given expression for \(i\). So, correct option is (1).
PHXII07:ALTERNATING CURRENT
356044
An alternating voltage is represented as \(E = 20\sin \,300t\). The average value of voltage over one cycle will be
1 \(10\,volt\)
2 Zero
3 \(\frac{{20}}{{\sqrt 2 }}{\rm{volt}}\)
4 \(20\sqrt 2 {\rm{volt}}\)
Explanation:
Conceptual Question
PHXII07:ALTERNATING CURRENT
356045
Find the average value of current (in \(A\)) shown graphically in figure from \(t = 0\) to \(t = 2s\)
1 \(5{\rm{A}}\)
2 \(2{\rm{A}}\)
3 \(1{\rm{A}}\)
4 \(3{\rm{A}}\)
Explanation:
From the \(i - t\) graph, area from \(t = 0\) to \(t = 2s\) \(\frac{1}{2} \times 2 \times 10 = 10As\) \(\therefore \) Average current \( = \frac{{10}}{2} = 5A\)
356041
A complex current wave is given by \({i=5+5 \sin (100 \omega t) A}\). Its average value over one time period is given as
1 \(10\,A\)
2 \(5\,A\)
3 \({\sqrt{50} A}\)
4 0
Explanation:
\({i=5+5 \sin (100 \omega t)}\) average value, \( < i > = 5 + 5 < \sin (100\omega t) > \) In one time period, \( < \sin (100\omega t) > = 0\) \( < i > = 5\;A\)
PHXII07:ALTERNATING CURRENT
356042
Find the average value of current (in \(A\)) shown graphically in figure from \({t=0}\) to \({t=2 {~s}}\).
1 \(5\,A\)
2 \(3\,A\)
3 \(7\,A\)
4 \(9\,A\)
Explanation:
From the \({i-t}\) graph (figure), area from \({t=0}\) to \({t=2 {~s}}\) \(\frac{1}{2} \times 2 \times 10 = 10\) As \({\therefore}\) Average current \({=\dfrac{10}{2}=5 {~A}}\)
PHXII07:ALTERNATING CURRENT
356043
An alternating current ' \(i\) ' is given by \(i=i_{0} \sin 2 \pi(t / T+1 / 4)\). Then the avg current in the first one quarter time period is
1 \(\dfrac{2 i_{0}}{\pi}\)
2 \(\dfrac{I_{0}}{\pi}\)
3 \(\dfrac{I_{0}}{2 \pi}\)
4 \(\dfrac{3 I_{0}}{\pi}\)
Explanation:
\( < i>=\dfrac{\int_{0}^{T / 4} i d t}{\int_{0}^{T / 4} d t}\) Then, use given expression for \(i\). So, correct option is (1).
PHXII07:ALTERNATING CURRENT
356044
An alternating voltage is represented as \(E = 20\sin \,300t\). The average value of voltage over one cycle will be
1 \(10\,volt\)
2 Zero
3 \(\frac{{20}}{{\sqrt 2 }}{\rm{volt}}\)
4 \(20\sqrt 2 {\rm{volt}}\)
Explanation:
Conceptual Question
PHXII07:ALTERNATING CURRENT
356045
Find the average value of current (in \(A\)) shown graphically in figure from \(t = 0\) to \(t = 2s\)
1 \(5{\rm{A}}\)
2 \(2{\rm{A}}\)
3 \(1{\rm{A}}\)
4 \(3{\rm{A}}\)
Explanation:
From the \(i - t\) graph, area from \(t = 0\) to \(t = 2s\) \(\frac{1}{2} \times 2 \times 10 = 10As\) \(\therefore \) Average current \( = \frac{{10}}{2} = 5A\)
356041
A complex current wave is given by \({i=5+5 \sin (100 \omega t) A}\). Its average value over one time period is given as
1 \(10\,A\)
2 \(5\,A\)
3 \({\sqrt{50} A}\)
4 0
Explanation:
\({i=5+5 \sin (100 \omega t)}\) average value, \( < i > = 5 + 5 < \sin (100\omega t) > \) In one time period, \( < \sin (100\omega t) > = 0\) \( < i > = 5\;A\)
PHXII07:ALTERNATING CURRENT
356042
Find the average value of current (in \(A\)) shown graphically in figure from \({t=0}\) to \({t=2 {~s}}\).
1 \(5\,A\)
2 \(3\,A\)
3 \(7\,A\)
4 \(9\,A\)
Explanation:
From the \({i-t}\) graph (figure), area from \({t=0}\) to \({t=2 {~s}}\) \(\frac{1}{2} \times 2 \times 10 = 10\) As \({\therefore}\) Average current \({=\dfrac{10}{2}=5 {~A}}\)
PHXII07:ALTERNATING CURRENT
356043
An alternating current ' \(i\) ' is given by \(i=i_{0} \sin 2 \pi(t / T+1 / 4)\). Then the avg current in the first one quarter time period is
1 \(\dfrac{2 i_{0}}{\pi}\)
2 \(\dfrac{I_{0}}{\pi}\)
3 \(\dfrac{I_{0}}{2 \pi}\)
4 \(\dfrac{3 I_{0}}{\pi}\)
Explanation:
\( < i>=\dfrac{\int_{0}^{T / 4} i d t}{\int_{0}^{T / 4} d t}\) Then, use given expression for \(i\). So, correct option is (1).
PHXII07:ALTERNATING CURRENT
356044
An alternating voltage is represented as \(E = 20\sin \,300t\). The average value of voltage over one cycle will be
1 \(10\,volt\)
2 Zero
3 \(\frac{{20}}{{\sqrt 2 }}{\rm{volt}}\)
4 \(20\sqrt 2 {\rm{volt}}\)
Explanation:
Conceptual Question
PHXII07:ALTERNATING CURRENT
356045
Find the average value of current (in \(A\)) shown graphically in figure from \(t = 0\) to \(t = 2s\)
1 \(5{\rm{A}}\)
2 \(2{\rm{A}}\)
3 \(1{\rm{A}}\)
4 \(3{\rm{A}}\)
Explanation:
From the \(i - t\) graph, area from \(t = 0\) to \(t = 2s\) \(\frac{1}{2} \times 2 \times 10 = 10As\) \(\therefore \) Average current \( = \frac{{10}}{2} = 5A\)
NEET Test Series from KOTA - 10 Papers In MS WORD
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PHXII07:ALTERNATING CURRENT
356041
A complex current wave is given by \({i=5+5 \sin (100 \omega t) A}\). Its average value over one time period is given as
1 \(10\,A\)
2 \(5\,A\)
3 \({\sqrt{50} A}\)
4 0
Explanation:
\({i=5+5 \sin (100 \omega t)}\) average value, \( < i > = 5 + 5 < \sin (100\omega t) > \) In one time period, \( < \sin (100\omega t) > = 0\) \( < i > = 5\;A\)
PHXII07:ALTERNATING CURRENT
356042
Find the average value of current (in \(A\)) shown graphically in figure from \({t=0}\) to \({t=2 {~s}}\).
1 \(5\,A\)
2 \(3\,A\)
3 \(7\,A\)
4 \(9\,A\)
Explanation:
From the \({i-t}\) graph (figure), area from \({t=0}\) to \({t=2 {~s}}\) \(\frac{1}{2} \times 2 \times 10 = 10\) As \({\therefore}\) Average current \({=\dfrac{10}{2}=5 {~A}}\)
PHXII07:ALTERNATING CURRENT
356043
An alternating current ' \(i\) ' is given by \(i=i_{0} \sin 2 \pi(t / T+1 / 4)\). Then the avg current in the first one quarter time period is
1 \(\dfrac{2 i_{0}}{\pi}\)
2 \(\dfrac{I_{0}}{\pi}\)
3 \(\dfrac{I_{0}}{2 \pi}\)
4 \(\dfrac{3 I_{0}}{\pi}\)
Explanation:
\( < i>=\dfrac{\int_{0}^{T / 4} i d t}{\int_{0}^{T / 4} d t}\) Then, use given expression for \(i\). So, correct option is (1).
PHXII07:ALTERNATING CURRENT
356044
An alternating voltage is represented as \(E = 20\sin \,300t\). The average value of voltage over one cycle will be
1 \(10\,volt\)
2 Zero
3 \(\frac{{20}}{{\sqrt 2 }}{\rm{volt}}\)
4 \(20\sqrt 2 {\rm{volt}}\)
Explanation:
Conceptual Question
PHXII07:ALTERNATING CURRENT
356045
Find the average value of current (in \(A\)) shown graphically in figure from \(t = 0\) to \(t = 2s\)
1 \(5{\rm{A}}\)
2 \(2{\rm{A}}\)
3 \(1{\rm{A}}\)
4 \(3{\rm{A}}\)
Explanation:
From the \(i - t\) graph, area from \(t = 0\) to \(t = 2s\) \(\frac{1}{2} \times 2 \times 10 = 10As\) \(\therefore \) Average current \( = \frac{{10}}{2} = 5A\)
356041
A complex current wave is given by \({i=5+5 \sin (100 \omega t) A}\). Its average value over one time period is given as
1 \(10\,A\)
2 \(5\,A\)
3 \({\sqrt{50} A}\)
4 0
Explanation:
\({i=5+5 \sin (100 \omega t)}\) average value, \( < i > = 5 + 5 < \sin (100\omega t) > \) In one time period, \( < \sin (100\omega t) > = 0\) \( < i > = 5\;A\)
PHXII07:ALTERNATING CURRENT
356042
Find the average value of current (in \(A\)) shown graphically in figure from \({t=0}\) to \({t=2 {~s}}\).
1 \(5\,A\)
2 \(3\,A\)
3 \(7\,A\)
4 \(9\,A\)
Explanation:
From the \({i-t}\) graph (figure), area from \({t=0}\) to \({t=2 {~s}}\) \(\frac{1}{2} \times 2 \times 10 = 10\) As \({\therefore}\) Average current \({=\dfrac{10}{2}=5 {~A}}\)
PHXII07:ALTERNATING CURRENT
356043
An alternating current ' \(i\) ' is given by \(i=i_{0} \sin 2 \pi(t / T+1 / 4)\). Then the avg current in the first one quarter time period is
1 \(\dfrac{2 i_{0}}{\pi}\)
2 \(\dfrac{I_{0}}{\pi}\)
3 \(\dfrac{I_{0}}{2 \pi}\)
4 \(\dfrac{3 I_{0}}{\pi}\)
Explanation:
\( < i>=\dfrac{\int_{0}^{T / 4} i d t}{\int_{0}^{T / 4} d t}\) Then, use given expression for \(i\). So, correct option is (1).
PHXII07:ALTERNATING CURRENT
356044
An alternating voltage is represented as \(E = 20\sin \,300t\). The average value of voltage over one cycle will be
1 \(10\,volt\)
2 Zero
3 \(\frac{{20}}{{\sqrt 2 }}{\rm{volt}}\)
4 \(20\sqrt 2 {\rm{volt}}\)
Explanation:
Conceptual Question
PHXII07:ALTERNATING CURRENT
356045
Find the average value of current (in \(A\)) shown graphically in figure from \(t = 0\) to \(t = 2s\)
1 \(5{\rm{A}}\)
2 \(2{\rm{A}}\)
3 \(1{\rm{A}}\)
4 \(3{\rm{A}}\)
Explanation:
From the \(i - t\) graph, area from \(t = 0\) to \(t = 2s\) \(\frac{1}{2} \times 2 \times 10 = 10As\) \(\therefore \) Average current \( = \frac{{10}}{2} = 5A\)
