Question
Download Solution PDFThe value of the current I in the circuit is ______.
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFKirchoff's Voltage Law (KVL):
According to Kirchhoff's Voltage Law, The voltage around a loop equals the sum of every voltage drop in the same loop for any closed network and equals zero.
\(V=V_{R1}+V_{R2}+V_{R3}\)
\(V=I({R_1}+R_2+R_3)\)
Kirchoff's Current Law (KCL):
According to the KCL: at any node, the sum of all incoming currents is always equal to the sum of all outgoing currents.
\(I_1+I_4=I_2+I_3+I_5\)
Calculation
Applying KVL as per the current direction:
\(-30+50+10+10I+30I=0\)
40I = -30
I = -0.75 A
Last updated on Jun 16, 2025
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