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Bumped by Community user
Bumped by Community user
Bumped by Community user
Bumped by Community user
Bumped by Community user
Math Jaxed and minor formatting
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Daniele Tampieri
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I'm trying to find the stored charge on capacitor1 at time t\$t\$

enter image description here

So, I think I have to find the voltage on the capacitor first. In terms of Current, the total current I(t)\$I(t)\$ should be the sum of the current on C1\$C_1\$ which is I1(t)\$I_1(t)\$ and the current on R2 (=dQ2\$R_2\$ (t)/dt\$=\mathrm{d}Q_2(t)/\mathrm{d}t\$).

I
I mean... I(t) = I1(t)+I2(t).

And $$ I(t) = I_1(t)+I_2(t). $$ And when we look at the outer loop, the total voltage V\$V\$ should be the sum of the voltage on R1\$R_1\$, R2\$R_2\$, and C2

So, V-R1I(t) - R2dQ2(t)/dt - Q2(t)/C2 = 0

Similarly\$C_2\$, so $$ V-R_1\cdot I(t) - R_2\cdot\frac{\mathrm{d}Q_2(t)}{\mathrm{d}t} - \frac{Q_2(t)}{C_2} = 0 $$ Similarly, at the inner loop, the total voltage V\$V\$ should be the sum of the voltage on R1 and C1

So, V - R1*I(t)\$R_1\$ and - Q1(t)/C1 = 0

But\$C_1\$, so $$ V - R_1\cdot I(t) - \frac{Q_1(t)}{C_1} = 0 $$ But here, I don't know what to do....

Plz help me :(

PS)PS

  • I didn't learn about the Thevenin theorem

  • when t=0\$t=0\$, there was no charge stored on C1\$C_1\$ and C2\$C_2\$

I'm trying to find the stored charge on capacitor1 at time t

enter image description here

So, I think I have to find the voltage on the capacitor first. In terms of Current, the total current I(t) should be the sum of the current on C1 which is I1(t) and the current on R2 (=dQ2(t)/dt).

I mean... I(t) = I1(t)+I2(t).

And when we look at the outer loop, the total voltage V should be the sum of the voltage on R1, R2, and C2

So, V-R1I(t) - R2dQ2(t)/dt - Q2(t)/C2 = 0

Similarly, at the inner loop, the total voltage V should be the sum of the voltage on R1 and C1

So, V - R1*I(t) - Q1(t)/C1 = 0

But here, I don't know what to do....

Plz help me :(

PS)

  • I didn't learn about the Thevenin theorem

  • when t=0, there was no charge stored on C1 and C2

I'm trying to find the stored charge on capacitor1 at time \$t\$

enter image description here

So, I think I have to find the voltage on the capacitor first. In terms of Current, the total current \$I(t)\$ should be the sum of the current on \$C_1\$ which is \$I_1(t)\$ and the current on \$R_2\$ (\$=\mathrm{d}Q_2(t)/\mathrm{d}t\$).
I mean... $$ I(t) = I_1(t)+I_2(t). $$ And when we look at the outer loop, the total voltage \$V\$ should be the sum of the voltage on \$R_1\$, \$R_2\$, and \$C_2\$, so $$ V-R_1\cdot I(t) - R_2\cdot\frac{\mathrm{d}Q_2(t)}{\mathrm{d}t} - \frac{Q_2(t)}{C_2} = 0 $$ Similarly, at the inner loop, the total voltage \$V\$ should be the sum of the voltage on \$R_1\$ and \$C_1\$, so $$ V - R_1\cdot I(t) - \frac{Q_1(t)}{C_1} = 0 $$ But here, I don't know what to do....

Plz help me :(

PS

  • I didn't learn about the Thevenin theorem

  • when \$t=0\$, there was no charge stored on \$C_1\$ and \$C_2\$

added 57 characters in body
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I'm trying to find the stored charge on capacitor1 at time t

enter image description here

So, I think I have to find the voltage on the capacitor first. In terms of Current, the total current I(t) should be the sum of the current on C1 which is I1(t) and the current on R2 (=dQ2(t)/dt).

I mean... I(t) = I1(t)+I2(t).

And when we look at the outer loop, the total voltage V should be the sum of the voltage on R1, R2, and C2

So, V-R1I(t) - R2dQ2(t)/dt - Q2(t)/C2 = 0

Similarly, at the inner loop, the total voltage V should be the sum of the voltage on R1 and C1

So, V - R1*I(t) - Q1(t)/C1 = 0

But here, I don't know what to do....

Plz help me :(

PS) I didn't learn about the Thevenin theorem

  • I didn't learn about the Thevenin theorem

  • when t=0, there was no charge stored on C1 and C2

I'm trying to find the stored charge on capacitor1 at time t

enter image description here

So, I think I have to find the voltage on the capacitor first. In terms of Current, the total current I(t) should be the sum of the current on C1 which is I1(t) and the current on R2 (=dQ2(t)/dt).

I mean... I(t) = I1(t)+I2(t).

And when we look at the outer loop, the total voltage V should be the sum of the voltage on R1, R2, and C2

So, V-R1I(t) - R2dQ2(t)/dt - Q2(t)/C2 = 0

Similarly, at the inner loop, the total voltage V should be the sum of the voltage on R1 and C1

So, V - R1*I(t) - Q1(t)/C1 = 0

But here, I don't know what to do....

Plz help me :(

PS) I didn't learn about the Thevenin theorem

I'm trying to find the stored charge on capacitor1 at time t

enter image description here

So, I think I have to find the voltage on the capacitor first. In terms of Current, the total current I(t) should be the sum of the current on C1 which is I1(t) and the current on R2 (=dQ2(t)/dt).

I mean... I(t) = I1(t)+I2(t).

And when we look at the outer loop, the total voltage V should be the sum of the voltage on R1, R2, and C2

So, V-R1I(t) - R2dQ2(t)/dt - Q2(t)/C2 = 0

Similarly, at the inner loop, the total voltage V should be the sum of the voltage on R1 and C1

So, V - R1*I(t) - Q1(t)/C1 = 0

But here, I don't know what to do....

Plz help me :(

PS)

  • I didn't learn about the Thevenin theorem

  • when t=0, there was no charge stored on C1 and C2

Source Link

Time Constant of a tricky RC circuit

I'm trying to find the stored charge on capacitor1 at time t

enter image description here

So, I think I have to find the voltage on the capacitor first. In terms of Current, the total current I(t) should be the sum of the current on C1 which is I1(t) and the current on R2 (=dQ2(t)/dt).

I mean... I(t) = I1(t)+I2(t).

And when we look at the outer loop, the total voltage V should be the sum of the voltage on R1, R2, and C2

So, V-R1I(t) - R2dQ2(t)/dt - Q2(t)/C2 = 0

Similarly, at the inner loop, the total voltage V should be the sum of the voltage on R1 and C1

So, V - R1*I(t) - Q1(t)/C1 = 0

But here, I don't know what to do....

Plz help me :(

PS) I didn't learn about the Thevenin theorem