QUESTION 25 Given the following circuit, what is the...

QUESTION 25 Given the following circuit, what is the magnitude (in amperes) of current $I_1$? Hint: Go from right to left. Hint: if the result is negative, don't forget to write the minus sign. $I_4$ $I_1$ $I_3$ $I_5 = 3 A$ $I_7 = 10 A$ a b c $I_2 = 3 A$ $I_6 = 2 A$

Transcript

00:01 So, for this question, let's first rearrange the circuit diagram.

00:04 So, here we have the 5 ohm resistance and the voltage is that is 24 volt and the current is like this.

00:16 Now, here we have the 2 ohm resistance which is parallel to the 4 ohm resistance which is parallel to 8 ohm resistance and this is parallel to 16 ohm resistance and this is parallel to 16 ohm resistance and the current is i1.

00:42 This is basically the a.

00:46 Now, let us attach that.

00:49 So, this is the point.

00:54 Now, let us solve for the first part that is for the a part.

01:00 Now, here we have to calculate the i.

01:02 So, basically the r16 is parallel to r16.

01:08 So, this will be equal to 16 which is multiplied by 16 divided by 16 plus 16 which will be equal to 8 ohm.

01:16 Now, similarly the r8 is parallel to r8 which will be equal to 8 which is multiplied by 8 divided by 8 plus 8.

01:26 So, this will be equal to 4 ohm.

01:28 Now, then our next step will be r4 will be parallel to r4 which will be equal to 4 multiplied by 4 divided by 4 plus 4 which will be equal to 2 ohm.

01:43 Now, then the r2 will be parallel to r2 which will be equal to multiplied by 2 divided by 2 plus 2 that is 4.

01:51 So, this will be equal to 1 ohm.

01:53 Now, the circuit will be like this.

01:56 Here we have this will be 5 ohm.

01:58 Here we have the 24 volt and this is the current and this is the 1 ohm resistance, the current.

02:08 Now, the equivalent circuit that is i will be equal to 24 volt divided by 6 ohm which will be equal to 4 ampere.

02:17 So, this is the required answer for the a part.

02:19 Now, let us solve for the b part.

02:21 For the b part, here we have to calculate the i1.

02:24 So, here we have the circuit diagram that is 5 ohm is here and 24 volt is here.

02:33 The current is flowing upward.

02:36 Here we have the r equivalent resistance and here we have the 16 ohm and the current is i1...

Question

QUESTION 25 Given the following circuit, what is the magnitude (in amperes) of current $I_1$? Hint: Go from right to left. Hint: if the result is negative, don't forget to write the minus sign. $I_4$ $I_1$ $I_3$ $I_5 = 3 A$ $I_7 = 10 A$ a b c $I_2 = 3 A$ $I_6 = 2 A$

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