Alternating Current Test

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Alternating Current Test - 6

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Weekly Quiz Competition

Question 1
1 / -0

Average power supplied to a capacitor over one complete cycle

A
always negative

B
zero

C
always positive

D
1

Solution

We know that in capacitor Current leads Voltage by 90degree. Over one complete cycle, in first quarter cycle Capacitor charges and next quarter cycle it's discharge. This will continue in next negative half cycle. So the NET POWER ABSORB IS ZERO.
Question 2
1 / -0

In a series LCR circuit supplied with AC

A
current in R and C is same but different in L

B
current in L and R is same but different in C

C
current in L and C is same but different in R

D
current in L, C and R is the same

Solution

In series circuits, the current always remains same while potential is different across different circuit components
Question 3
1 / -0

If V_L, V_R , V_C, and V represent the voltage across the inductor, resistor, capacitor and the source, respectively, on the phasor diagram

A
V_L and V_C are at 90^∘ to each other and V_R leads V_C by 90^∘

B
V_R and V_C are directed opposite to each other and V_R leads V_C by 90^∘

C
V_L and V_C are directed opposite to each other and V_R leads V_C by 90^∘

D
V_L and V_R are directed opposite to each other and V_C leads L_C by 90^∘

Solution

In Series LCR Circuit, current is same across all elements. Since for a resistor both current and voltage are in same phase, V_cis along the same direction as current in the phasor diagram.
In capacitor voltage lags current by 90⁰ so it is at right angle with V_Rand in an inductor voltage leads current by 90⁰ so it is at right angle with V_Rand directly opposite to V_c
Question 4
1 / -0

The current in a series LCR circuit excited by AC of frequency ω is in general

A
I_msin ( ωt + ϕ)

B
I_msinωt

C
2I_msin(ωt)

D
I_msin(ωt + 90 )

Solution

The above expression is for instantaneous value of current in an AC Circuit and since in an LCR circuit current is same across the circuit, the above expression holds valid for the entire LCR series circuit.

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Re-Attempt Weekly Quiz Competition

Alternating Current Test - 6

Result

Alternating Current Test - 6

Score

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Rank

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SHARING IS CARING

Question 1

always negative

zero

always positive

1

Solution

Question 2

current in R and C is same but different in L

current in L and R is same but different in C

current in L and C is same but different in R

current in L, C and R is the same

Solution

Question 3

VL and VC are at 90∘ to each other and VR leads VC by 90∘

VR and VC are directed opposite to each other and VR leads VC by 90∘

VL and VC are directed opposite to each other and VR leads VC by 90∘

VL and VR are directed opposite to each other and VC leads LC by 90∘

Solution

Question 4

Im sin ( ωt + ϕ)

Imsinωt

2Imsin(ωt)

Imsin(ωt + 90 )

Solution

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V_L and V_C are at 90^∘ to each other and V_R leads V_C by 90^∘

V_R and V_C are directed opposite to each other and V_R leads V_C by 90^∘

V_L and V_C are directed opposite to each other and V_R leads V_C by 90^∘

V_L and V_R are directed opposite to each other and V_C leads L_C by 90^∘

I_msin ( ωt + ϕ)

I_msinωt

2I_msin(ωt)

I_msin(ωt + 90 )