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2.1 Noem die instrument wat gebruik word om elektriese energie te meet - NSC Electrical Technology Electronics - Question 2 - 2016 - Paper 1

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2.1 Noem die instrument wat gebruik word om elektriese energie te meet. 2.2 Noem TWEE voordeel van driefasestelsels bo enkelfasestels. 2.3 Teken 'n netjies benoemd... show full transcript

Worked Solution & Example Answer:2.1 Noem die instrument wat gebruik word om elektriese energie te meet - NSC Electrical Technology Electronics - Question 2 - 2016 - Paper 1

Step 1

2.4.1 Lynspanning

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Answer

To calculate the line voltage ( VLV_L ), we use the formula:

S = rac{ ext{sqrt{3}} V_L I_L}{1000}

Given:

  • S=20kVAS = 20 \, kVA
  • IL=25AI_L = 25 \, A

We rearrange the formula to solve for VLV_L:

V_L = rac{S}{ ext{sqrt{3}} I_L}

Substituting the given values:

V_L = rac{20000}{ ext{sqrt{3}} imes 25}

Calculating this gives:

Approximately 461.88V461.88 \, V.

Step 2

2.4.2 Fasespanning

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Answer

To find the phase voltage ( VfV_f ), we use the relationship between line voltage and phase voltage:

V_f = rac{V_L}{ ext{sqrt{3}}}

Substituting the calculated line voltage:

V_f = rac{461.88}{ ext{sqrt{3}}}

Calculating this gives:

Approximately 267.67V267.67 \, V.

Step 3

2.5.1 Totale Spanning

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Answer

To find the total power ( PTP_T ), we sum the two powers:

PT=P1+P2P_T = P_1 + P_2

Given:

  • P1=8kWP_1 = 8 \, kW
  • P2=4kWP_2 = 4 \, kW

Substituting the values:

PT=8+4=12kWP_T = 8 + 4 = 12 \, kW

Step 4

2.5.2 Huidige Berekening

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Answer

To determine the current ( ILI_L ) for the load, we use the following formula:

I_L = rac{ ext{sqrt{3}} V_L I_L ext{Cos}{ heta}}{P}

Given:

  • P=12000WP = 12000 \, W
  • VL=380VV_L = 380 \, V
  • extCosheta=0.8 ext{Cos}{ heta} = 0.8

We rearrange the formula to solve for ILI_L:

I_L = rac{ ext{sqrt{3}} V_L ext{Cos}{ heta}}{P}

Substituting the values:

I_L = rac{ ext{sqrt{3}} imes 380 imes 0.8}{12000}

Calculating this gives:

Approximately 22.79A22.79 \, A.

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