Question

calculate the equivalent resistance when 1 ohm 10^3 ohm and 10^6 ohm are connected in parallel ​

Answer 1

$\huge {\underline{\green{Given:-}}}$

• Resistance ,R1 = 1 Ω

• Resistance ,R2 = 10³ Ω

• Resistance ,R3 = 10⁶ Ω

$\huge {\underline{\pink{To Find:-}}}$

• Equivalent Resistance in Parallel ,Req.

$\huge {\underline{\red{Solution:-}}}$

As we know that Equivalent resistance in parallel is defined as the sum of reciprocal of given resistance.

• 1/Req = 1/R1 + 1/R2 + 1/R3

Substitute the value we get

→ 1/Req = 1/1 + 1/10³ + 1/10⁶

→ 1/Req = 1/1 + 1/1000 + 1/1000000

→ 1/Req = 1000000 +1000+1/100000

→ 1/Req = 1001001/1000000

→ Req = 1000000/1001001

→ Req = 0.99 Ω

Therefore, the Equivalent resistance in Parallel 0.99 ohm.

Answer 2

$\huge{\boxed{\rm{\red{Question}}}}$

$\huge{\boxed{\rm{\red{Answer}}}}$

${\bigstar}\large{\boxed{\sf{\pink{Given \: that}}}}$

• Resistance , R1 = 1Ω
• Resistance , R2 = 10³Ω
• Resistance , R3 = 10⁶Ω

${\bigstar}\large{\boxed{\sf{\pink{To \: find}}}}$

• Equivalent Resistance in Parallel || Req.

${\bigstar}\large{\boxed{\sf{\pink{Solution}}}}$

As we know that, equivalent in parallel is defined as the sum of reciprocal of the given resistance.

• 1/Req = 1/R1 + 1/R2 + 1/R3

$\large\purple{\texttt{Substituting the value we get}}$

• 1/Req = 1/1 + 1/10³ + 1/10⁶
• 1/Req = 1/1 + 1/1000 + 1/1000000
• 1/Req = 1000000 + 1000 + 1/10000
• 1/Req = 1001001 / 1000000
• Req = 1000000 / 1001001
• Req = 0.99 Ω

Therefore, the equivalent Resistance in parallel 0.99Ω Ohms

@Itzbeautyqueen23

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